Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials
Identifieur interne : 003A05 ( Istex/Corpus ); précédent : 003A04; suivant : 003A06Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials
Auteurs : H. KoornwinderSource :
- Lecture Notes in Mathematics [ 0075-8434 ] ; 1988.
Url:
DOI: 10.1007/BFb0083353
Links to Exploration step
ISTEX:943C4B4BC8F186CEC75EB28EDF687B8FB09CAB2ELe document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials</title>
<author><name sortKey="Koornwinder, H" sort="Koornwinder, H" uniqKey="Koornwinder H" first="H." last="Koornwinder">H. Koornwinder</name>
<affiliation><mods:affiliation>Centre for Math. and Computer Science, Amsterdam and Math. Institute, University of Leiden, The Netherlands</mods:affiliation>
</affiliation>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:943C4B4BC8F186CEC75EB28EDF687B8FB09CAB2E</idno>
<date when="1988" year="1988">1988</date>
<idno type="doi">10.1007/BFb0083353</idno>
<idno type="url">https://api.istex.fr/document/943C4B4BC8F186CEC75EB28EDF687B8FB09CAB2E/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">003A05</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials</title>
<author><name sortKey="Koornwinder, H" sort="Koornwinder, H" uniqKey="Koornwinder H" first="H." last="Koornwinder">H. Koornwinder</name>
<affiliation><mods:affiliation>Centre for Math. and Computer Science, Amsterdam and Math. Institute, University of Leiden, The Netherlands</mods:affiliation>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="s">Lecture Notes in Mathematics</title>
<imprint><date>1988</date>
</imprint>
<idno type="ISSN">0075-8434</idno>
<idno type="eISSN">1617-9692</idno>
<idno type="ISSN">0075-8434</idno>
</series>
<idno type="istex">943C4B4BC8F186CEC75EB28EDF687B8FB09CAB2E</idno>
<idno type="DOI">10.1007/BFb0083353</idno>
<idno type="ChapterID">4</idno>
<idno type="ChapterID">Chap4</idno>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0075-8434</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
</TEI>
<istex><corpusName>springer</corpusName>
<author><json:item><name>Tom H. Koornwinder</name>
<affiliations><json:string>Centre for Math. and Computer Science, Amsterdam and Math. Institute, University of Leiden, The Netherlands</json:string>
</affiliations>
</json:item>
</author>
<language><json:string>eng</json:string>
</language>
<qualityIndicators><score>5.012</score>
<pdfVersion>1.3</pdfVersion>
<pdfPageSize>468 x 684 pts</pdfPageSize>
<refBibsNative>false</refBibsNative>
<keywordCount>0</keywordCount>
<abstractCharCount>0</abstractCharCount>
<pdfWordCount>10787</pdfWordCount>
<pdfCharCount>56607</pdfCharCount>
<pdfPageCount>27</pdfPageCount>
<abstractWordCount>1</abstractWordCount>
</qualityIndicators>
<title>Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials</title>
<genre.original><json:string>ReviewPaper</json:string>
</genre.original>
<chapterId><json:string>4</json:string>
<json:string>Chap4</json:string>
</chapterId>
<genre><json:string>conference [eBooks]</json:string>
</genre>
<serie><editor><json:item><name>A. Dold</name>
</json:item>
<json:item><name>B. Eckmann</name>
</json:item>
</editor>
<issn><json:string>0075-8434</json:string>
</issn>
<language><json:string>unknown</json:string>
</language>
<eissn><json:string>1617-9692</json:string>
</eissn>
<title>Lecture Notes in Mathematics</title>
<copyrightDate>1988</copyrightDate>
</serie>
<host><editor><json:item><name>Manuel Alfaro</name>
</json:item>
<json:item><name>Jesús S. Dehesa</name>
</json:item>
<json:item><name>Francisco J. Marcellan</name>
</json:item>
<json:item><name>José L. Rubio de Francia</name>
</json:item>
<json:item><name>Jaime Vinuesa</name>
</json:item>
</editor>
<subject><json:item><value>Mathematics and Statistics</value>
</json:item>
<json:item><value>Mathematics</value>
</json:item>
<json:item><value>Numerical Analysis</value>
</json:item>
<json:item><value>Analysis</value>
</json:item>
<json:item><value>Statistics, general</value>
</json:item>
</subject>
<isbn><json:string>978-3-540-19489-7</json:string>
</isbn>
<language><json:string>unknown</json:string>
</language>
<eissn><json:string>1617-9692</json:string>
</eissn>
<title>Orthogonal Polynomials and their Applications</title>
<genre.original><json:string>Proceedings</json:string>
</genre.original>
<bookId><json:string>3-540-19489-4</json:string>
</bookId>
<volume>1329</volume>
<pages><last>72</last>
<first>46</first>
</pages>
<issn><json:string>0075-8434</json:string>
</issn>
<genre><json:string>Book Series</json:string>
</genre>
<eisbn><json:string>978-3-540-39295-8</json:string>
</eisbn>
<copyrightDate>1988</copyrightDate>
<doi><json:string>10.1007/BFb0083349</json:string>
</doi>
</host>
<publicationDate>1988</publicationDate>
<copyrightDate>1988</copyrightDate>
<doi><json:string>10.1007/BFb0083353</json:string>
</doi>
<id>943C4B4BC8F186CEC75EB28EDF687B8FB09CAB2E</id>
<fulltext><json:item><original>true</original>
<mimetype>application/pdf</mimetype>
<extension>pdf</extension>
<uri>https://api.istex.fr/document/943C4B4BC8F186CEC75EB28EDF687B8FB09CAB2E/fulltext/pdf</uri>
</json:item>
<json:item><original>false</original>
<mimetype>application/zip</mimetype>
<extension>zip</extension>
<uri>https://api.istex.fr/document/943C4B4BC8F186CEC75EB28EDF687B8FB09CAB2E/fulltext/zip</uri>
</json:item>
<istex:fulltextTEI uri="https://api.istex.fr/document/943C4B4BC8F186CEC75EB28EDF687B8FB09CAB2E/fulltext/tei"><teiHeader><fileDesc><titleStmt><title level="a" type="main" xml:lang="en">Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials</title>
<respStmt xml:id="ISTEX-API" resp="Références bibliographiques récupérées via GROBID" name="ISTEX-API (INIST-CNRS)"></respStmt>
</titleStmt>
<publicationStmt><authority>ISTEX</authority>
<publisher>Springer Berlin Heidelberg</publisher>
<pubPlace>Berlin, Heidelberg</pubPlace>
<availability><p>SPRINGER</p>
</availability>
<date>1988</date>
</publicationStmt>
<sourceDesc><biblStruct type="inbook"><analytic><title level="a" type="main" xml:lang="en">Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials</title>
<author corresp="yes"><persName><forename type="first">Tom</forename>
<surname>Koornwinder</surname>
</persName>
<affiliation>Centre for Math. and Computer Science, Amsterdam and Math. Institute, University of Leiden, The Netherlands</affiliation>
</author>
</analytic>
<monogr><title level="m">Orthogonal Polynomials and their Applications</title>
<title level="m" type="sub">Proceedings of an International Symposium held in Segovia, Spain, Sept. 22–27, 1986</title>
<idno type="pISBN">978-3-540-19489-7</idno>
<idno type="eISBN">978-3-540-39295-8</idno>
<idno type="pISSN">0075-8434</idno>
<idno type="eISSN">1617-9692</idno>
<idno type="DOI">10.1007/BFb0083349</idno>
<idno type="BookID">3-540-19489-4</idno>
<idno type="BookTitleID">21447</idno>
<idno type="BookVolumeNumber">1329</idno>
<idno type="BookChapterCount">23</idno>
<editor><persName><forename type="first">Manuel</forename>
<surname>Alfaro</surname>
</persName>
</editor>
<editor><persName><forename type="first">Jesús</forename>
<forename type="first">S.</forename>
<surname>Dehesa</surname>
</persName>
</editor>
<editor><persName><forename type="first">Francisco</forename>
<forename type="first">J.</forename>
<surname>Marcellan</surname>
</persName>
</editor>
<editor><persName><forename type="first">José</forename>
<forename type="first">L.</forename>
<surname>Rubio de Francia</surname>
</persName>
</editor>
<editor><persName><forename type="first">Jaime</forename>
<surname>Vinuesa</surname>
</persName>
</editor>
<imprint><publisher>Springer Berlin Heidelberg</publisher>
<pubPlace>Berlin, Heidelberg</pubPlace>
<date type="published" when="1988"></date>
<biblScope unit="volume">1329</biblScope>
<biblScope unit="page" from="46">46</biblScope>
<biblScope unit="page" to="72">72</biblScope>
</imprint>
</monogr>
<series><title level="s">Lecture Notes in Mathematics</title>
<editor><persName><forename type="first">A.</forename>
<surname>Dold</surname>
</persName>
</editor>
<editor><persName><forename type="first">B.</forename>
<surname>Eckmann</surname>
</persName>
</editor>
<biblScope><date>1988</date>
</biblScope>
<idno type="pISSN">0075-8434</idno>
<idno type="eISSN">1617-9692</idno>
<idno type="seriesId">304</idno>
</series>
<idno type="istex">943C4B4BC8F186CEC75EB28EDF687B8FB09CAB2E</idno>
<idno type="DOI">10.1007/BFb0083353</idno>
<idno type="ChapterID">4</idno>
<idno type="ChapterID">Chap4</idno>
</biblStruct>
</sourceDesc>
</fileDesc>
<profileDesc><creation><date>1988</date>
</creation>
<langUsage><language ident="en">en</language>
</langUsage>
<textClass><keywords scheme="Book Subject Collection"><list><label>SUCO11649</label>
<item><term>Mathematics and Statistics</term>
</item>
</list>
</keywords>
</textClass>
<textClass><keywords scheme="Book Subject Group"><list><label>M</label>
<label>M14050</label>
<label>M12007</label>
<label>S0000X</label>
<item><term>Mathematics</term>
</item>
<item><term>Numerical Analysis</term>
</item>
<item><term>Analysis</term>
</item>
<item><term>Statistics, general</term>
</item>
</list>
</keywords>
</textClass>
</profileDesc>
<revisionDesc><change when="1988">Published</change>
<change xml:id="refBibs-istex" who="#ISTEX-API" when="2016-3-19">References added</change>
</revisionDesc>
</teiHeader>
</istex:fulltextTEI>
<json:item><original>false</original>
<mimetype>text/plain</mimetype>
<extension>txt</extension>
<uri>https://api.istex.fr/document/943C4B4BC8F186CEC75EB28EDF687B8FB09CAB2E/fulltext/txt</uri>
</json:item>
</fulltext>
<metadata><istex:metadataXml wicri:clean="Springer, Publisher found" wicri:toSee="no header"><istex:xmlDeclaration>version="1.0" encoding="UTF-8"</istex:xmlDeclaration>
<istex:docType PUBLIC="-//Springer-Verlag//DTD A++ V2.4//EN" URI="http://devel.springer.de/A++/V2.4/DTD/A++V2.4.dtd" name="istex:docType"></istex:docType>
<istex:document><Publisher><PublisherInfo><PublisherName>Springer Berlin Heidelberg</PublisherName>
<PublisherLocation>Berlin, Heidelberg </PublisherLocation>
</PublisherInfo>
<Series><SeriesInfo TocLevels="0"><SeriesID>304</SeriesID>
<SeriesPrintISSN>0075-8434</SeriesPrintISSN>
<SeriesElectronicISSN>1617-9692</SeriesElectronicISSN>
<SeriesTitle Language="En">Lecture Notes in Mathematics</SeriesTitle>
<SeriesAbbreviatedTitle>Lecture Notes in Mathematics</SeriesAbbreviatedTitle>
</SeriesInfo>
<SeriesHeader><EditorGroup><Editor><EditorName DisplayOrder="Western"><GivenName>A.</GivenName>
<FamilyName>Dold</FamilyName>
</EditorName>
</Editor>
<Editor><EditorName DisplayOrder="Western"><GivenName>B.</GivenName>
<FamilyName>Eckmann</FamilyName>
</EditorName>
</Editor>
</EditorGroup>
</SeriesHeader>
<Book Language="En"><BookInfo MediaType="eBook" Language="En" BookProductType="Proceedings" NumberingStyle="Unnumbered" TocLevels="0"><BookID>3-540-19489-4</BookID>
<BookTitle>Orthogonal Polynomials and their Applications</BookTitle>
<BookSubTitle>Proceedings of an International Symposium held in Segovia, Spain, Sept. 22–27, 1986</BookSubTitle>
<BookVolumeNumber>1329</BookVolumeNumber>
<BookDOI>10.1007/BFb0083349</BookDOI>
<BookTitleID>21447</BookTitleID>
<BookPrintISBN>978-3-540-19489-7</BookPrintISBN>
<BookElectronicISBN>978-3-540-39295-8</BookElectronicISBN>
<BookChapterCount>23</BookChapterCount>
<BookCopyright><CopyrightHolderName>Springer-Verlag</CopyrightHolderName>
<CopyrightYear>1988</CopyrightYear>
</BookCopyright>
<BookSubjectGroup><BookSubject Code="M" Type="Primary">Mathematics</BookSubject>
<BookSubject Code="M14050" Priority="1" Type="Secondary">Numerical Analysis</BookSubject>
<BookSubject Code="M12007" Priority="2" Type="Secondary">Analysis</BookSubject>
<BookSubject Code="S0000X" Priority="3" Type="Secondary">Statistics, general</BookSubject>
<SubjectCollection Code="SUCO11649">Mathematics and Statistics</SubjectCollection>
</BookSubjectGroup>
</BookInfo>
<BookHeader><EditorGroup><Editor><EditorName DisplayOrder="Western"><GivenName>Manuel</GivenName>
<FamilyName>Alfaro</FamilyName>
</EditorName>
</Editor>
<Editor><EditorName DisplayOrder="Western"><GivenName>Jesús</GivenName>
<GivenName>S.</GivenName>
<FamilyName>Dehesa</FamilyName>
</EditorName>
</Editor>
<Editor><EditorName DisplayOrder="Western"><GivenName>Francisco</GivenName>
<GivenName>J.</GivenName>
<FamilyName>Marcellan</FamilyName>
</EditorName>
</Editor>
<Editor><EditorName DisplayOrder="Western"><GivenName>José</GivenName>
<GivenName>L.</GivenName>
<FamilyName>Rubio de Francia</FamilyName>
</EditorName>
</Editor>
<Editor><EditorName DisplayOrder="Western"><GivenName>Jaime</GivenName>
<FamilyName>Vinuesa</FamilyName>
</EditorName>
</Editor>
</EditorGroup>
</BookHeader>
<Chapter ID="Chap4" Language="En"><ChapterInfo ChapterType="ReviewPaper" ContainsESM="No" NumberingStyle="Unnumbered" TocLevels="0"><ChapterID>4</ChapterID>
<ChapterDOI>10.1007/BFb0083353</ChapterDOI>
<ChapterSequenceNumber>4</ChapterSequenceNumber>
<ChapterTitle Language="En">Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials</ChapterTitle>
<ChapterCategory>Invited Speakers</ChapterCategory>
<ChapterFirstPage>46</ChapterFirstPage>
<ChapterLastPage>72</ChapterLastPage>
<ChapterCopyright><CopyrightHolderName>Springer-Verlag</CopyrightHolderName>
<CopyrightYear>1988</CopyrightYear>
</ChapterCopyright>
<ChapterHistory><OnlineDate><Year>2006</Year>
<Month>9</Month>
<Day>28</Day>
</OnlineDate>
</ChapterHistory>
<ChapterGrants Type="Regular"><MetadataGrant Grant="OpenAccess"></MetadataGrant>
<AbstractGrant Grant="OpenAccess"></AbstractGrant>
<BodyPDFGrant Grant="Restricted"></BodyPDFGrant>
<BodyHTMLGrant Grant="Restricted"></BodyHTMLGrant>
<BibliographyGrant Grant="Restricted"></BibliographyGrant>
<ESMGrant Grant="Restricted"></ESMGrant>
</ChapterGrants>
<ChapterContext><SeriesID>304</SeriesID>
<BookID>3-540-19489-4</BookID>
<BookTitle>Orthogonal Polynomials and their Applications</BookTitle>
</ChapterContext>
</ChapterInfo>
<ChapterHeader><AuthorGroup><Author AffiliationIDS="Aff1" CorrespondingAffiliationID="Aff1" PresentAffiliationID="Aff2"><AuthorName DisplayOrder="Western"><GivenName>Tom</GivenName>
<GivenName>H.</GivenName>
<FamilyName>Koornwinder</FamilyName>
</AuthorName>
</Author>
<Affiliation ID="Aff1"><OrgDivision>Centre for Math. and Computer Science, Amsterdam and Math. Institute</OrgDivision>
<OrgName>University of Leiden</OrgName>
<OrgAddress><Country>The Netherlands</Country>
</OrgAddress>
</Affiliation>
<Affiliation ID="Aff2"><OrgName>CWI</OrgName>
<OrgAddress><Postbox>P.O.Box 4079</Postbox>
<Postcode>1009 AB</Postcode>
<City>Amsterdam</City>
<Country>The Netherlands</Country>
</OrgAddress>
</Affiliation>
</AuthorGroup>
</ChapterHeader>
<NoBody></NoBody>
</Chapter>
</Book>
</Series>
</Publisher>
</istex:document>
</istex:metadataXml>
<mods version="3.6"><titleInfo lang="en"><title>Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials</title>
</titleInfo>
<titleInfo type="alternative" contentType="CDATA" lang="en"><title>Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials</title>
</titleInfo>
<name type="personal" displayLabel="corresp"><namePart type="given">Tom</namePart>
<namePart type="given">H.</namePart>
<namePart type="family">Koornwinder</namePart>
<affiliation>Centre for Math. and Computer Science, Amsterdam and Math. Institute, University of Leiden, The Netherlands</affiliation>
<role><roleTerm type="text">author</roleTerm>
</role>
</name>
<typeOfResource>text</typeOfResource>
<genre type="conference [eBooks]" displayLabel="ReviewPaper"></genre>
<originInfo><publisher>Springer Berlin Heidelberg</publisher>
<place><placeTerm type="text">Berlin, Heidelberg</placeTerm>
</place>
<dateIssued encoding="w3cdtf">1988</dateIssued>
<copyrightDate encoding="w3cdtf">1988</copyrightDate>
</originInfo>
<language><languageTerm type="code" authority="rfc3066">en</languageTerm>
<languageTerm type="code" authority="iso639-2b">eng</languageTerm>
</language>
<physicalDescription><internetMediaType>text/html</internetMediaType>
</physicalDescription>
<relatedItem type="host"><titleInfo><title>Orthogonal Polynomials and their Applications</title>
<subTitle>Proceedings of an International Symposium held in Segovia, Spain, Sept. 22–27, 1986</subTitle>
</titleInfo>
<name type="personal"><namePart type="given">Manuel</namePart>
<namePart type="family">Alfaro</namePart>
<role><roleTerm type="text">editor</roleTerm>
</role>
</name>
<name type="personal"><namePart type="given">Jesús</namePart>
<namePart type="given">S.</namePart>
<namePart type="family">Dehesa</namePart>
<role><roleTerm type="text">editor</roleTerm>
</role>
</name>
<name type="personal"><namePart type="given">Francisco</namePart>
<namePart type="given">J.</namePart>
<namePart type="family">Marcellan</namePart>
<role><roleTerm type="text">editor</roleTerm>
</role>
</name>
<name type="personal"><namePart type="given">José</namePart>
<namePart type="given">L.</namePart>
<namePart type="family">Rubio de Francia</namePart>
<role><roleTerm type="text">editor</roleTerm>
</role>
</name>
<name type="personal"><namePart type="given">Jaime</namePart>
<namePart type="family">Vinuesa</namePart>
<role><roleTerm type="text">editor</roleTerm>
</role>
</name>
<genre type="Book Series" displayLabel="Proceedings"></genre>
<originInfo><copyrightDate encoding="w3cdtf">1988</copyrightDate>
<issuance>monographic</issuance>
</originInfo>
<subject><genre>Book Subject Collection</genre>
<topic authority="SpringerSubjectCodes" authorityURI="SUCO11649">Mathematics and Statistics</topic>
</subject>
<subject><genre>Book Subject Group</genre>
<topic authority="SpringerSubjectCodes" authorityURI="M">Mathematics</topic>
<topic authority="SpringerSubjectCodes" authorityURI="M14050">Numerical Analysis</topic>
<topic authority="SpringerSubjectCodes" authorityURI="M12007">Analysis</topic>
<topic authority="SpringerSubjectCodes" authorityURI="S0000X">Statistics, general</topic>
</subject>
<identifier type="DOI">10.1007/BFb0083349</identifier>
<identifier type="ISBN">978-3-540-19489-7</identifier>
<identifier type="eISBN">978-3-540-39295-8</identifier>
<identifier type="ISSN">0075-8434</identifier>
<identifier type="eISSN">1617-9692</identifier>
<identifier type="BookTitleID">21447</identifier>
<identifier type="BookID">3-540-19489-4</identifier>
<identifier type="BookChapterCount">23</identifier>
<identifier type="BookVolumeNumber">1329</identifier>
<part><date>1988</date>
<detail type="volume"><number>1329</number>
<caption>vol.</caption>
</detail>
<extent unit="pages"><start>46</start>
<end>72</end>
</extent>
</part>
<recordInfo><recordOrigin>Springer-Verlag, 1988</recordOrigin>
</recordInfo>
</relatedItem>
<relatedItem type="series"><titleInfo><title>Lecture Notes in Mathematics</title>
</titleInfo>
<name type="personal"><namePart type="given">A.</namePart>
<namePart type="family">Dold</namePart>
<role><roleTerm type="text">editor</roleTerm>
</role>
</name>
<name type="personal"><namePart type="given">B.</namePart>
<namePart type="family">Eckmann</namePart>
<role><roleTerm type="text">editor</roleTerm>
</role>
</name>
<originInfo><copyrightDate encoding="w3cdtf">1988</copyrightDate>
<issuance>serial</issuance>
</originInfo>
<identifier type="ISSN">0075-8434</identifier>
<identifier type="eISSN">1617-9692</identifier>
<identifier type="SeriesID">304</identifier>
<recordInfo><recordOrigin>Springer-Verlag, 1988</recordOrigin>
</recordInfo>
</relatedItem>
<identifier type="istex">943C4B4BC8F186CEC75EB28EDF687B8FB09CAB2E</identifier>
<identifier type="DOI">10.1007/BFb0083353</identifier>
<identifier type="ChapterID">4</identifier>
<identifier type="ChapterID">Chap4</identifier>
<accessCondition type="use and reproduction" contentType="copyright">Springer-Verlag, 1988</accessCondition>
<recordInfo><recordContentSource>SPRINGER</recordContentSource>
<recordOrigin>Springer-Verlag, 1988</recordOrigin>
</recordInfo>
</mods>
</metadata>
<enrichments><istex:refBibTEI uri="https://api.istex.fr/document/943C4B4BC8F186CEC75EB28EDF687B8FB09CAB2E/enrichments/refBib"><teiHeader></teiHeader>
<text><front></front>
<body></body>
<back><listBibl><biblStruct xml:id="b0"><analytic><title level="a" type="main">Classical orthogonal polynomials," pp. 36-62 in Polynbmes Orthogonaux et Applications</title>
<author><persName><forename type="first">G</forename>
<forename type="middle">E</forename>
<surname>Andrews</surname>
</persName>
</author>
<author><persName><forename type="first">R</forename>
<surname>Askey</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">Lecture Notes in Math</title>
<editor>C. Brezinski, A. Draux, A.P. Magnus, P. Maroni, A. Ronveaux</editor>
<imprint><publisher>Springer</publisher>
<publisher>Springer</publisher>
<biblScope unit="volume">1171</biblScope>
<date type="published" when="1985"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b1"><analytic><title level="a" type="main">Continuous Hahn polynomials</title>
<author><persName><forename type="first">R</forename>
<surname>Askey</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">J. Phys. A: Math. Gen</title>
<imprint><biblScope unit="volume">18</biblScope>
<biblScope unit="page" from="1017" to="1019"></biblScope>
<date type="published" when="1985"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b2"><analytic><title level="a" type="main">A set of hypergeometric orthogonal polynomials</title>
<author><persName><forename type="first">R</forename>
<surname>Askey</surname>
</persName>
</author>
<author><persName><forename type="first">J</forename>
<surname>Wilson</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">SlAM J. Math. Anal</title>
<imprint><biblScope unit="volume">13</biblScope>
<biblScope unit="page" from="651" to="655"></biblScope>
<date type="published" when="1982"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b3"><analytic><title level="a" type="main">Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Memoirs Amer</title>
<author><persName><forename type="first">R</forename>
<surname>Askey</surname>
</persName>
</author>
<author><persName><forename type="first">J</forename>
<surname>Wilson</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">Math. Soc</title>
<imprint><biblScope unit="page">319</biblScope>
<date type="published" when="1985"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b4"><analytic><title level="a" type="main">The Hahn and Meixner polynomials of an imaginary argument and some of their applicationsContinuous Hahn polynomials of argument i d/dt and analysis on Riemannian symmetric spaces of constant curvature</title>
<author><persName><forename type="first">N</forename>
<forename type="middle">M</forename>
<surname>Atakishiyev</surname>
</persName>
</author>
<author><persName><forename type="first">S</forename>
<forename type="middle">K</forename>
<surname>Suslov</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">J.Phys. A: Math. Gen. lg</title>
<editor>E. Badertscher and T.H. Koornwinder</editor>
<imprint><biblScope unit="page" from="1583" to="1596"></biblScope>
<date type="published" when="1985"></date>
</imprint>
</monogr>
<note>CWI. preprint, to appear</note>
</biblStruct>
<biblStruct xml:id="b5"><analytic><title level="a" type="main">The unitary irreducible representations of SL(2,R) in all subgroup reductions Angular momentum in quantum physics</title>
<author><persName><forename type="first">D</forename>
<surname>Basu</surname>
</persName>
</author>
<author><persName><forename type="first">K</forename>
<forename type="middle">B</forename>
<surname>Wolf</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">J. Math. Phys. Encyclopedia of Math</title>
<editor>L.C. Biedenharn and J.D. Louck</editor>
<imprint><publisher>Addison-Wesley</publisher>
<publisher>Addison-Wesley</publisher>
<biblScope unit="volume">23</biblScope>
<biblScope unit="issue">8</biblScope>
<biblScope unit="page" from="189" to="205"></biblScope>
<date type="published" when="1981"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b6"><analytic><title level="a" type="main">On the decomposition SO(p, 1)~SO(p-1,1) for most degenerate representations</title>
<author><persName><forename type="first">C</forename>
<forename type="middle">P</forename>
<surname>Boyer</surname>
</persName>
</author>
<author><persName><forename type="first">F</forename>
<surname>Ardalan</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">J. Math. Phys</title>
<imprint><biblScope unit="volume">12</biblScope>
<biblScope unit="page" from="2070" to="2075"></biblScope>
<date type="published" when="1971"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b7"><analytic><title level="a" type="main">A difference equation and Hahn polynomials in two variables</title>
<author><persName><forename type="first">C</forename>
<forename type="middle">F</forename>
<surname>Dun~</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">Pac. J. Math</title>
<imprint><biblScope unit="volume">92</biblScope>
<biblScope unit="page" from="57" to="71"></biblScope>
<date type="published" when="1981"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b8"><analytic><title level="a" type="main">Orthogonal polynomials with symmetry of order three</title>
<author><persName><forename type="first">C</forename>
<forename type="middle">F</forename>
</persName>
</author>
</analytic>
<monogr><title level="j">Can. J. Math</title>
<imprint><biblScope unit="volume">36</biblScope>
<biblScope unit="page" from="685" to="717"></biblScope>
<date type="published" when="1984"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b9"><analytic><title level="a" type="main">Higher transcendental functions</title>
<author><persName><forename type="first">A</forename>
<surname>Erdrlyi</surname>
</persName>
</author>
<author><persName><forename type="first">W</forename>
<surname>Magnus</surname>
</persName>
</author>
<author><persName><forename type="first">F</forename>
<surname>Oberhettinger</surname>
</persName>
</author>
<author><persName><forename type="first">F</forename>
<forename type="middle">G</forename>
<surname>Tricomi</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">Vols</title>
<imprint><publisher>McGraw-Hill</publisher>
<publisher>McGraw-Hill</publisher>
<biblScope unit="volume">1111</biblScope>
<biblScope unit="issue">11</biblScope>
<date type="published" when="1953"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b10"><analytic><title></title>
<author><persName><forename type="first">.</forename>
<forename type="middle">A</forename>
<surname>Erdrlyi</surname>
</persName>
</author>
<author><persName><forename type="first">W</forename>
<surname>Magnus</surname>
</persName>
</author>
<author><persName><forename type="first">F</forename>
<surname>Oberhettinger</surname>
</persName>
</author>
<author><persName><forename type="first">F</forename>
<forename type="middle">G</forename>
<surname>Tricomi</surname>
</persName>
</author>
</analytic>
<monogr><title level="m">Tables of integral transforms</title>
<imprint><publisher>McGraw-Hill</publisher>
<date type="published" when="1954"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b11"><analytic><title level="a" type="main">Distributions sphrriques sur les espaces hyperboliques</title>
<author><persName><forename type="first">J</forename>
<surname>Faraut</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">J. Math. Pures AppL</title>
<imprint><biblScope unit="volume">58</biblScope>
<biblScope unit="page" from="369" to="444"></biblScope>
<date type="published" when="1979"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b12"><monogr><title level="m" type="main">Analyse harmonique sur les paires de Guelfand et les espaces hyperboliques</title>
<author><persName><forename type="first">J</forename>
<surname>Faraut</surname>
</persName>
</author>
<imprint><date type="published" when="1982"></date>
<biblScope unit="page" from="315" to="446"></biblScope>
<pubPlace>CIMPA, Nice</pubPlace>
</imprint>
</monogr>
<note>in. Analyse harrnonique</note>
</biblStruct>
<biblStruct xml:id="b13"><analytic><title level="a" type="main">Spherical functions on a simply connected semisimple Lie group. II. The Paley-Wiener theorem for the rank one case</title>
<author><persName><forename type="first">M</forename>
<surname>Flensted-Jensen</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">Math. Ann</title>
<imprint><biblScope unit="volume">228</biblScope>
<biblScope unit="page" from="65" to="92"></biblScope>
<date type="published" when="1977"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b14"><monogr><title level="m" type="main">A duality for symmetric spaces with applications to group representations, II. Differential equations and eigenspace representations Advances in Math</title>
<author><persName><forename type="first">S</forename>
<surname>Helgason</surname>
</persName>
</author>
<imprint><date type="published" when="1976"></date>
<biblScope unit="page" from="187" to="219"></biblScope>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b15"><monogr><title level="m" type="main">Groups and geometric analysis</title>
<author><persName><forename type="first">S</forename>
<surname>Helgason</surname>
</persName>
</author>
<imprint><date type="published" when="1984"></date>
<publisher>Academic Press</publisher>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b16"><analytic><title level="a" type="main">The Hahn polynomials, formulas and an application</title>
<author><persName><forename type="first">S</forename>
<surname>Karlin</surname>
</persName>
</author>
<author><persName><forename type="first">J</forename>
<forename type="middle">L</forename>
<surname>Mcgregor</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">Scripta Math</title>
<imprint><biblScope unit="volume">26</biblScope>
<biblScope unit="page" from="33" to="46"></biblScope>
<date type="published" when="1963"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b17"><analytic><title level="a" type="main">The addition formula for Jacobi polynomials and spherical harmonics</title>
<author><persName><forename type="first">T</forename>
<forename type="middle">H</forename>
<surname>Koornwinder</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">SIAMJ. Appl. Math</title>
<imprint><biblScope unit="volume">25</biblScope>
<biblScope unit="page" from="236" to="246"></biblScope>
<date type="published" when="1973"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b18"><analytic><title level="a" type="main">A new proof of a Paley-Wiener type theorem for the Jacobi transform</title>
<author><persName><forename type="first">T</forename>
<forename type="middle">H</forename>
<surname>Koornwinder</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">Ark. Mat</title>
<imprint><biblScope unit="volume">13</biblScope>
<biblScope unit="page" from="145" to="159"></biblScope>
<date type="published" when="1975"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b19"><analytic><title level="a" type="main">Clebsch-Gordan coefficients for SU(2) and Hahn polynomials</title>
<author><persName><forename type="first">T</forename>
<forename type="middle">H</forename>
<surname>Koornwinder</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">Nieuw Archiefvoor Wiskunde (3)</title>
<imprint><biblScope unit="volume">29</biblScope>
<biblScope unit="page" from="140" to="155"></biblScope>
<date type="published" when="1981"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b20"><analytic><title level="a" type="main">Krawtchouk polynomials, a unification of two different group theoretic interpretations</title>
<author><persName><forename type="first">T</forename>
<forename type="middle">H</forename>
<surname>Koornwinder</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">SIAM J. Math. Anal</title>
<imprint><biblScope unit="volume">13</biblScope>
<biblScope unit="page" from="1011" to="1023"></biblScope>
<date type="published" when="1982"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b21"><monogr><title level="m" type="main">Jacobi functions and analysis on noncompact semisimple Lie groups," pp. 1-85 in Special functions: Group theoretical aspects and applications</title>
<author><persName><forename type="first">T</forename>
<forename type="middle">H</forename>
<surname>Koornwinder</surname>
</persName>
</author>
<editor>R.A. Askey, T.H. Koornwinder, W. Schempp</editor>
<imprint><date type="published" when="1984"></date>
<biblScope unit="page">Reidel</biblScope>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b22"><analytic><title level="a" type="main">A group theoretic interpretation of Wilson polynomials</title>
<author><persName><forename type="first">T</forename>
<forename type="middle">H</forename>
<surname>Koornwinder</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">Report PM- R8504</title>
<imprint><date type="published" when="1985"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b23"><analytic><title level="a" type="main">Special orthogonal polynomial systems mapped onto each other by the Fourier-Jacobi transform</title>
<author><persName><forename type="first">T</forename>
<forename type="middle">H</forename>
<surname>Koornwinder</surname>
</persName>
</author>
</analytic>
<monogr><title level="m">Lecture Notes in Math. 1171</title>
<editor>Polynbmes Orthogonaux et Applications, (C. Brezinski , A. Draux, A.P. Magnus, P. Maroni, A. Ronveaux</editor>
<imprint><publisher>Springer</publisher>
<date type="published" when="1985"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b24"><analytic><title level="a" type="main">Tableau d'Askey," pp. xxxvi-xxxvii in Polynbmes Orthogonaux et Applications</title>
<author><persName><forename type="first">J</forename>
<surname>Labelle</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">Lecture Notes in Math</title>
<editor>C. Brezinski, A. Draux, A.P. Magnus, P. Maroni, A. Ronveaux</editor>
<imprint><publisher>Springer</publisher>
<publisher>Springer</publisher>
<biblScope unit="volume">1171</biblScope>
<date type="published" when="1985"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b25"><analytic><title></title>
<author><persName><forename type="first">A</forename>
<forename type="middle">F</forename>
<surname>Nikiforov</surname>
</persName>
</author>
<author><persName><forename type="first">S</forename>
<forename type="middle">K</forename>
<surname>Suslov</surname>
</persName>
</author>
<author><persName><forename type="first">V</forename>
<forename type="middle">B</forename>
<surname>Uvarov</surname>
</persName>
</author>
</analytic>
<monogr><title level="m">Classical orthogonal poynomials of a discrete variable (Russian)</title>
<meeting><address><addrLine>Nauka, Moscow</addrLine>
</address>
</meeting>
<imprint><date type="published" when="1985"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b26"><monogr><title level="m" type="main">Complete integrability of relativistic Calogero-Moser systems and elliptic function identities</title>
<author><persName><forename type="first">S</forename>
<forename type="middle">N M</forename>
<surname>Ruijsenaars</surname>
</persName>
</author>
<imprint><date type="published" when="1986"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b27"><monogr><title level="m" type="main">The Hahn polynomials in the Coulomb problem (Russian)," Yadernaya Fiz</title>
<author><persName><forename type="first">S</forename>
<forename type="middle">K</forename>
<surname>Suslov</surname>
</persName>
</author>
<imprint><date type="published" when="1984"></date>
<biblScope unit="page" from="126" to="132"></biblScope>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b28"><analytic><title></title>
<author><persName><forename type="first">G</forename>
<surname>Szeg6</surname>
</persName>
</author>
<author><persName><forename type="first">American</forename>
<surname>Orthogonal Polynomials</surname>
</persName>
</author>
<author><persName><surname>Math</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">Society Colloquium Publications</title>
<imprint><biblScope unit="volume">23</biblScope>
<date type="published" when="1975"></date>
</imprint>
</monogr>
<note>Fourth. ed.</note>
</biblStruct>
<biblStruct xml:id="b29"><analytic><title level="a" type="main">Transformation int6grale de Weyl et th6or~me de Paley-Wiener associ6s ~un op6rateur diff6rentiel singulier sur (0, ~)</title>
<author><persName><forename type="first">K</forename>
<surname>Trim6che</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">J. Math. Pures Appl</title>
<imprint><biblScope unit="volume">60</biblScope>
<biblScope unit="issue">9</biblScope>
<biblScope unit="page" from="51" to="98"></biblScope>
<date type="published" when="1981"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b30"><analytic><title level="a" type="main">Vilenkin, Special functions and the theory of group representations</title>
<author><persName><forename type="first">N</forename>
<surname>Ja</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">Amer. Math. Soc. Transl. of Math. Monographs</title>
<imprint><biblScope unit="volume">22</biblScope>
<date type="published" when="1968"></date>
</imprint>
</monogr>
</biblStruct>
<biblStruct xml:id="b31"><analytic><title level="a" type="main">Some hypergeometric orthogonal polynomials</title>
<author><persName><forename type="first">J</forename>
<forename type="middle">A</forename>
<surname>Wilson</surname>
</persName>
</author>
</analytic>
<monogr><title level="j">SIAM J. Math. Anal</title>
<imprint><biblScope unit="volume">11</biblScope>
<biblScope unit="page" from="690" to="701"></biblScope>
<date type="published" when="1980"></date>
</imprint>
</monogr>
</biblStruct>
</listBibl>
</back>
</text>
</istex:refBibTEI>
</enrichments>
</istex>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Ticri/CIDE/explor/OcrV1/Data/Istex/Corpus
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 003A05 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Istex/Corpus/biblio.hfd -nk 003A05 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Ticri/CIDE |area= OcrV1 |flux= Istex |étape= Corpus |type= RBID |clé= ISTEX:943C4B4BC8F186CEC75EB28EDF687B8FB09CAB2E |texte= Group theoretic interpretations of Askey's scheme of hypergeometric orthogonal polynomials }}
![]() | This area was generated with Dilib version V0.6.32. | ![]() |