Operator calculus approach to orthogonal polynomial expansions
Identifieur interne : 002089 ( Istex/Corpus ); précédent : 002088; suivant : 002090Operator calculus approach to orthogonal polynomial expansions
Auteurs : P. Feinsilver ; R. SchottSource :
- Journal of Computational and Applied Mathematics [ 0377-0427 ] ; 1996.
English descriptors
- Teeft :
- Algebra, Algebraic structures, Algorithm, Binomial coefficients, Calculus, Computational, Convolution family, Evolution equation, Evolution equations, Feinsilver, Fourier, Generalized fourier coefficients, Heisenberg, Heisenberg algebra, Heisenberg algebras, Hermite polynomials, Initial condition, Interpolating polynomial, Krawtchouk, Krawtchouk expansions, Krawtchouk matrices, Krawtchouk polynomials, Krawtchouk symbols, Matrix, Meixner, Meixner classes, Meixner polynomials, Operator calculus, Orthogonal, Orthogonal polynomials, Output vector, Riccati equation, Schott, Vector space.
Abstract
Abstract: Using techniques of operational calculus we show how to compute the generalized Fourier coefficients for the Meixner classes of orthogonal polynomials. In particular, Krawtchouk polynomials are discussed in detail, including an algorithm for computing Krawtchouk transforms.
Url:
DOI: 10.1016/0377-0427(95)00161-1
Links to Exploration step
ISTEX:8DB777CB48626A9D7C23D3084DCF80FAAB3B496FLe document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title>Operator calculus approach to orthogonal polynomial expansions</title><author><name sortKey="Feinsilver, P" sort="Feinsilver, P" uniqKey="Feinsilver P" first="P." last="Feinsilver">P. Feinsilver</name><affiliation><mods:affiliation>Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, United States</mods:affiliation></affiliation></author><author><name sortKey="Schott, R" sort="Schott, R" uniqKey="Schott R" first="R." last="Schott">R. Schott</name><affiliation><mods:affiliation>Corresponding author.</mods:affiliation></affiliation><affiliation><mods:affiliation>CRIN, Université de Nancy I, B.P. 239, 54506 Vandoeuvre-lès-Nancy, France</mods:affiliation></affiliation><affiliation><mods:affiliation>E-mail: schott@loria.fr</mods:affiliation></affiliation></author></titleStmt><publicationStmt><idno type="wicri:source">ISTEX</idno><idno type="RBID">ISTEX:8DB777CB48626A9D7C23D3084DCF80FAAB3B496F</idno><date when="1996" year="1996">1996</date><idno type="doi">10.1016/0377-0427(95)00161-1</idno><idno type="url">https://api.istex.fr/ark:/67375/6H6-HG8Z6M39-H/fulltext.pdf</idno><idno type="wicri:Area/Istex/Corpus">002089</idno><idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">002089</idno></publicationStmt><sourceDesc><biblStruct><analytic><title level="a">Operator calculus approach to orthogonal polynomial expansions</title><author><name sortKey="Feinsilver, P" sort="Feinsilver, P" uniqKey="Feinsilver P" first="P." last="Feinsilver">P. Feinsilver</name><affiliation><mods:affiliation>Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, United States</mods:affiliation></affiliation></author><author><name sortKey="Schott, R" sort="Schott, R" uniqKey="Schott R" first="R." last="Schott">R. Schott</name><affiliation><mods:affiliation>Corresponding author.</mods:affiliation></affiliation><affiliation><mods:affiliation>CRIN, Université de Nancy I, B.P. 239, 54506 Vandoeuvre-lès-Nancy, France</mods:affiliation></affiliation><affiliation><mods:affiliation>E-mail: schott@loria.fr</mods:affiliation></affiliation></author></analytic><monogr></monogr><series><title level="j">Journal of Computational and Applied Mathematics</title><title level="j" type="abbrev">CAM</title><idno type="ISSN">0377-0427</idno><imprint><publisher>ELSEVIER</publisher><date type="published" when="1996">1996</date><biblScope unit="volume">66</biblScope><biblScope unit="issue">1–2</biblScope><biblScope unit="page" from="185">185</biblScope><biblScope unit="page" to="199">199</biblScope></imprint><idno type="ISSN">0377-0427</idno></series></biblStruct></sourceDesc><seriesStmt><idno type="ISSN">0377-0427</idno></seriesStmt></fileDesc><profileDesc><textClass><keywords scheme="Teeft" xml:lang="en"><term>Algebra</term><term>Algebraic structures</term><term>Algorithm</term><term>Binomial coefficients</term><term>Calculus</term><term>Computational</term><term>Convolution family</term><term>Evolution equation</term><term>Evolution equations</term><term>Feinsilver</term><term>Fourier</term><term>Generalized fourier coefficients</term><term>Heisenberg</term><term>Heisenberg algebra</term><term>Heisenberg algebras</term><term>Hermite polynomials</term><term>Initial condition</term><term>Interpolating polynomial</term><term>Krawtchouk</term><term>Krawtchouk expansions</term><term>Krawtchouk matrices</term><term>Krawtchouk polynomials</term><term>Krawtchouk symbols</term><term>Matrix</term><term>Meixner</term><term>Meixner classes</term><term>Meixner polynomials</term><term>Operator calculus</term><term>Orthogonal</term><term>Orthogonal polynomials</term><term>Output vector</term><term>Riccati equation</term><term>Schott</term><term>Vector space</term></keywords></textClass><langUsage><language ident="en">en</language></langUsage></profileDesc></teiHeader><front><div type="abstract" xml:lang="en">Abstract: Using techniques of operational calculus we show how to compute the generalized Fourier coefficients for the Meixner classes of orthogonal polynomials. In particular, Krawtchouk polynomials are discussed in detail, including an algorithm for computing Krawtchouk transforms.</div></front></TEI><istex><corpusName>elsevier</corpusName><keywords><teeft><json:string>krawtchouk</json:string><json:string>feinsilver</json:string><json:string>meixner</json:string><json:string>fourier</json:string><json:string>heisenberg</json:string><json:string>orthogonal</json:string><json:string>computational</json:string><json:string>orthogonal polynomials</json:string><json:string>calculus</json:string><json:string>krawtchouk polynomials</json:string><json:string>meixner polynomials</json:string><json:string>algorithm</json:string><json:string>heisenberg algebra</json:string><json:string>schott</json:string><json:string>matrix</json:string><json:string>interpolating polynomial</json:string><json:string>operator calculus</json:string><json:string>heisenberg algebras</json:string><json:string>krawtchouk matrices</json:string><json:string>algebra</json:string><json:string>algebraic structures</json:string><json:string>vector space</json:string><json:string>convolution family</json:string><json:string>meixner classes</json:string><json:string>evolution equation</json:string><json:string>initial condition</json:string><json:string>hermite polynomials</json:string><json:string>krawtchouk expansions</json:string><json:string>krawtchouk symbols</json:string><json:string>generalized fourier coefficients</json:string><json:string>binomial coefficients</json:string><json:string>evolution equations</json:string><json:string>output vector</json:string><json:string>riccati equation</json:string></teeft></keywords><author><json:item><name>P. Feinsilver</name><affiliations><json:string>Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, United States</json:string></affiliations></json:item><json:item><name>R. Schott</name><affiliations><json:string>Corresponding author.</json:string><json:string>CRIN, Université de Nancy I, B.P. 239, 54506 Vandoeuvre-lès-Nancy, France</json:string><json:string>E-mail: schott@loria.fr</json:string></affiliations></json:item></author><subject><json:item><lang><json:string>eng</json:string></lang><value>Expansions</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Krawtchouk transform</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Operator calculus</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>Orthogonal polynomials</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>33C45</value></json:item><json:item><lang><json:string>eng</json:string></lang><value>47A99</value></json:item></subject><arkIstex>ark:/67375/6H6-HG8Z6M39-H</arkIstex><language><json:string>eng</json:string></language><originalGenre><json:string>Full-length article</json:string></originalGenre><abstract>Abstract: Using techniques of operational calculus we show how to compute the generalized Fourier coefficients for the Meixner classes of orthogonal polynomials. In particular, Krawtchouk polynomials are discussed in detail, including an algorithm for computing Krawtchouk transforms.</abstract><qualityIndicators><score>5.998</score><pdfWordCount>3554</pdfWordCount><pdfCharCount>17510</pdfCharCount><pdfVersion>1.2</pdfVersion><pdfPageCount>15</pdfPageCount><pdfPageSize>576 x 749 pts</pdfPageSize><refBibsNative>true</refBibsNative><abstractWordCount>37</abstractWordCount><abstractCharCount>284</abstractCharCount><keywordCount>6</keywordCount></qualityIndicators><title>Operator calculus approach to orthogonal polynomial expansions</title><pii><json:string>0377-0427(95)00161-1</json:string></pii><genre><json:string>research-article</json:string></genre><host><title>Journal of Computational and Applied Mathematics</title><language><json:string>unknown</json:string></language><publicationDate>1996</publicationDate><issn><json:string>0377-0427</json:string></issn><pii><json:string>S0377-0427(00)X0009-X</json:string></pii><volume>66</volume><issue>1–2</issue><pages><first>185</first><last>199</last></pages><genre><json:string>journal</json:string></genre><conference><json:item><name>Proceedings of the Sixth International Congress on Computational and Applied Mathematics, Leuven, Belgium 19940726 19940730</name></json:item></conference><editor><json:item><name>F. Broeckx</name></json:item><json:item><name>M.J. Goovaerts</name></json:item><json:item><name>R. Piessens</name></json:item><json:item><name>L. Wuytack</name></json:item></editor></host><namedEntities><unitex><date><json:string>19940726</json:string><json:string>1996</json:string></date><geogName></geogName><orgName><json:string>France Received</json:string></orgName><orgName_funder></orgName_funder><orgName_provider></orgName_provider><persName><json:string>R. Schott</json:string><json:string>M.J. Goovaerts</json:string><json:string>P. Feinsilver</json:string><json:string>R. Piessens</json:string><json:string>To</json:string><json:string>L. Wuytack</json:string></persName><placeName><json:string>IL</json:string><json:string>United States</json:string></placeName><ref_url></ref_url><ref_bibl><json:string>[1, 3, 4, 7]</json:string><json:string>[3]</json:string><json:string>[5]</json:string><json:string>[2]</json:string><json:string>[3, 7]</json:string></ref_bibl><bibl></bibl></unitex></namedEntities><ark><json:string>ark:/67375/6H6-HG8Z6M39-H</json:string></ark><categories><wos><json:string>1 - science</json:string><json:string>2 - mathematics, applied</json:string></wos><scienceMetrix><json:string>1 - natural sciences</json:string><json:string>2 - mathematics & statistics</json:string><json:string>3 - numerical & computational mathematics</json:string></scienceMetrix><scopus><json:string>1 - Physical Sciences</json:string><json:string>2 - Mathematics</json:string><json:string>3 - Applied Mathematics</json:string><json:string>1 - Physical Sciences</json:string><json:string>2 - Mathematics</json:string><json:string>3 - Computational Mathematics</json:string></scopus><inist><json:string>1 - sciences appliquees, technologies et medecines</json:string><json:string>2 - sciences exactes et technologie</json:string><json:string>3 - sciences et techniques communes</json:string><json:string>4 - mathematiques</json:string></inist></categories><publicationDate>1996</publicationDate><copyrightDate>1996</copyrightDate><doi><json:string>10.1016/0377-0427(95)00161-1</json:string></doi><id>8DB777CB48626A9D7C23D3084DCF80FAAB3B496F</id><score>1</score><fulltext><json:item><extension>pdf</extension><original>true</original><mimetype>application/pdf</mimetype><uri>https://api.istex.fr/ark:/67375/6H6-HG8Z6M39-H/fulltext.pdf</uri></json:item><json:item><extension>zip</extension><original>false</original><mimetype>application/zip</mimetype><uri>https://api.istex.fr/ark:/67375/6H6-HG8Z6M39-H/bundle.zip</uri></json:item><istex:fulltextTEI uri="https://api.istex.fr/ark:/67375/6H6-HG8Z6M39-H/fulltext.tei"><teiHeader><fileDesc><titleStmt><title level="a">Operator calculus approach to orthogonal polynomial expansions</title></titleStmt><publicationStmt><authority>ISTEX</authority><publisher scheme="https://scientific-publisher.data.istex.fr">ELSEVIER</publisher><availability><licence><p>elsevier</p></licence></availability><p scheme="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-HKKZVM7B-M"></p><date>1996</date></publicationStmt><notesStmt><note type="research-article" scheme="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</note><note type="journal" scheme="https://publication-type.data.istex.fr/ark:/67375/JMC-0GLKJH51-B">journal</note><note type="content">Section title: Contributed paper</note></notesStmt><sourceDesc><biblStruct type="inbook"><analytic><title level="a">Operator calculus approach to orthogonal polynomial expansions</title><author xml:id="author-0000"><persName><forename type="first">P.</forename><surname>Feinsilver</surname></persName><affiliation>Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, United States</affiliation></author><author xml:id="author-0001"><persName><forename type="first">R.</forename><surname>Schott</surname></persName><email>schott@loria.fr</email><affiliation>Corresponding author.</affiliation><affiliation>CRIN, Université de Nancy I, B.P. 239, 54506 Vandoeuvre-lès-Nancy, France</affiliation></author><idno type="istex">8DB777CB48626A9D7C23D3084DCF80FAAB3B496F</idno><idno type="ark">ark:/67375/6H6-HG8Z6M39-H</idno><idno type="DOI">10.1016/0377-0427(95)00161-1</idno><idno type="PII">0377-0427(95)00161-1</idno></analytic><monogr><title level="j">Journal of Computational and Applied Mathematics</title><title level="j" type="abbrev">CAM</title><idno type="pISSN">0377-0427</idno><idno type="PII">S0377-0427(00)X0009-X</idno><meeting><addName>Proceedings of the Sixth International Congress on Computational and Applied Mathematics, Leuven, Belgium</addName><date>19940726</date><date>19940730</date></meeting><editor xml:id="book-author-0000"><persName>F. Broeckx</persName></editor><editor xml:id="book-author-0001"><persName>M.J. Goovaerts</persName></editor><editor xml:id="book-author-0002"><persName>R. Piessens</persName></editor><editor xml:id="book-author-0003"><persName>L. Wuytack</persName></editor><imprint><publisher>ELSEVIER</publisher><date type="published" when="1996"></date><biblScope unit="volume">66</biblScope><biblScope unit="issue">1–2</biblScope><biblScope unit="page" from="185">185</biblScope><biblScope unit="page" to="199">199</biblScope></imprint></monogr></biblStruct></sourceDesc></fileDesc><profileDesc><creation><date>1996</date></creation><langUsage><language ident="en">en</language></langUsage><abstract xml:lang="en"><p>Abstract: Using techniques of operational calculus we show how to compute the generalized Fourier coefficients for the Meixner classes of orthogonal polynomials. In particular, Krawtchouk polynomials are discussed in detail, including an algorithm for computing Krawtchouk transforms.</p></abstract><textClass><keywords scheme="keyword"><list><head>Keywords</head><item><term>Expansions</term></item><item><term>Krawtchouk transform</term></item><item><term>Operator calculus</term></item><item><term>Orthogonal polynomials</term></item></list></keywords></textClass><textClass><keywords scheme="keyword"><list><head>MSC</head><item><term>33C45</term></item><item><term>47A99</term></item></list></keywords></textClass></profileDesc><revisionDesc><change when="1995-01-10">Modified</change><change when="1996">Published</change></revisionDesc></teiHeader></istex:fulltextTEI><json:item><extension>txt</extension><original>false</original><mimetype>text/plain</mimetype><uri>https://api.istex.fr/ark:/67375/6H6-HG8Z6M39-H/fulltext.txt</uri></json:item></fulltext><metadata><istex:metadataXml wicri:clean="Elsevier, elements deleted: tail"><istex:xmlDeclaration>version="1.0" encoding="utf-8"</istex:xmlDeclaration><istex:docType PUBLIC="-//ES//DTD journal article DTD version 4.5.2//EN//XML" URI="art452.dtd" name="istex:docType"></istex:docType><istex:document><converted-article version="4.5.2" docsubtype="fla"><item-info><jid>CAM</jid><aid>95001611</aid><ce:pii>0377-0427(95)00161-1</ce:pii><ce:doi>10.1016/0377-0427(95)00161-1</ce:doi><ce:copyright type="unknown" year="1996"></ce:copyright></item-info><head><ce:dochead><ce:textfn>Contributed paper</ce:textfn></ce:dochead><ce:title>Operator calculus approach to orthogonal polynomial expansions</ce:title><ce:author-group><ce:author><ce:given-name>P.</ce:given-name><ce:surname>Feinsilver</ce:surname><ce:cross-ref refid="AFF1"><ce:sup>a</ce:sup></ce:cross-ref></ce:author><ce:author><ce:given-name>R.</ce:given-name><ce:surname>Schott</ce:surname><ce:cross-ref refid="COR1"><ce:sup>∗</ce:sup></ce:cross-ref><ce:cross-ref refid="AFF2"><ce:sup>b</ce:sup></ce:cross-ref><ce:e-address>schott@loria.fr</ce:e-address></ce:author><ce:affiliation id="AFF1"><ce:label>a</ce:label><ce:textfn>Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, United States</ce:textfn></ce:affiliation><ce:affiliation id="AFF2"><ce:label>b</ce:label><ce:textfn>CRIN, Université de Nancy I, B.P. 239, 54506 Vandoeuvre-lès-Nancy, France</ce:textfn></ce:affiliation><ce:correspondence id="COR1"><ce:label>∗</ce:label><ce:text>Corresponding author.</ce:text></ce:correspondence></ce:author-group><ce:date-received day="26" month="7" year="1994"></ce:date-received><ce:date-revised day="10" month="1" year="1995"></ce:date-revised><ce:abstract><ce:section-title>Abstract</ce:section-title><ce:abstract-sec><ce:simple-para>Using techniques of operational calculus we show how to compute the generalized Fourier coefficients for the Meixner classes of orthogonal polynomials. In particular, Krawtchouk polynomials are discussed in detail, including an algorithm for computing Krawtchouk transforms.</ce:simple-para></ce:abstract-sec></ce:abstract><ce:keywords><ce:section-title>Keywords</ce:section-title><ce:keyword><ce:text>Expansions</ce:text></ce:keyword><ce:keyword><ce:text>Krawtchouk transform</ce:text></ce:keyword><ce:keyword><ce:text>Operator calculus</ce:text></ce:keyword><ce:keyword><ce:text>Orthogonal polynomials</ce:text></ce:keyword></ce:keywords><ce:keywords class="msc"><ce:section-title>MSC</ce:section-title><ce:keyword><ce:text>33C45</ce:text></ce:keyword><ce:keyword><ce:text>47A99</ce:text></ce:keyword></ce:keywords></head></converted-article></istex:document></istex:metadataXml><mods version="3.6"><titleInfo><title>Operator calculus approach to orthogonal polynomial expansions</title></titleInfo><titleInfo type="alternative" contentType="CDATA"><title>Operator calculus approach to orthogonal polynomial expansions</title></titleInfo><name type="personal"><namePart type="given">P.</namePart><namePart type="family">Feinsilver</namePart><affiliation>Department of Mathematics, Southern Illinois University, Carbondale, IL 62901, United States</affiliation><role><roleTerm type="text">author</roleTerm></role></name><name type="personal"><namePart type="given">R.</namePart><namePart type="family">Schott</namePart><affiliation>Corresponding author.</affiliation><affiliation>CRIN, Université de Nancy I, B.P. 239, 54506 Vandoeuvre-lès-Nancy, France</affiliation><affiliation>E-mail: schott@loria.fr</affiliation><role><roleTerm type="text">author</roleTerm></role></name><typeOfResource>text</typeOfResource><genre type="research-article" displayLabel="Full-length article" authority="ISTEX" authorityURI="https://content-type.data.istex.fr" valueURI="https://content-type.data.istex.fr/ark:/67375/XTP-1JC4F85T-7">research-article</genre><originInfo><publisher>ELSEVIER</publisher><dateIssued encoding="w3cdtf">1996</dateIssued><dateModified encoding="w3cdtf">1995-01-10</dateModified><copyrightDate encoding="w3cdtf">1996</copyrightDate></originInfo><language><languageTerm type="code" authority="iso639-2b">eng</languageTerm><languageTerm type="code" authority="rfc3066">en</languageTerm></language><abstract lang="en">Abstract: Using techniques of operational calculus we show how to compute the generalized Fourier coefficients for the Meixner classes of orthogonal polynomials. In particular, Krawtchouk polynomials are discussed in detail, including an algorithm for computing Krawtchouk transforms.</abstract><note type="content">Section title: Contributed paper</note><subject><genre>Keywords</genre><topic>Expansions</topic><topic>Krawtchouk transform</topic><topic>Operator calculus</topic><topic>Orthogonal polynomials</topic></subject><subject><genre>MSC</genre><topic>33C45</topic><topic>47A99</topic></subject><relatedItem type="host"><titleInfo><title>Journal of Computational and Applied Mathematics</title></titleInfo><titleInfo type="abbreviated"><title>CAM</title></titleInfo><name type="conference"><namePart>Proceedings of the Sixth International Congress on Computational and Applied Mathematics, Leuven, Belgium</namePart><namePart type="date">19940726</namePart><namePart type="date">19940730</namePart></name><name type="personal"><namePart>F. Broeckx</namePart><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart>M.J. Goovaerts</namePart><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart>R. Piessens</namePart><role><roleTerm type="text">editor</roleTerm></role></name><name type="personal"><namePart>L. Wuytack</namePart><role><roleTerm type="text">editor</roleTerm></role></name><genre type="journal" authority="ISTEX" authorityURI="https://publication-type.data.istex.fr" valueURI="https://publication-type.data.istex.fr/ark:/67375/JMC-0GLKJH51-B">journal</genre><originInfo><publisher>ELSEVIER</publisher><dateIssued encoding="w3cdtf">1996</dateIssued></originInfo><identifier type="ISSN">0377-0427</identifier><identifier type="PII">S0377-0427(00)X0009-X</identifier><part><date>1996</date><detail type="issue"><title>Proceedings of the Sixth International Congress on Computational and Applied Mathematics, Leuven, Belgium</title></detail><detail type="volume"><number>66</number><caption>vol.</caption></detail><detail type="issue"><number>1–2</number><caption>no.</caption></detail><extent unit="issue-pages"><start>N1</start><end>N21</end></extent><extent unit="issue-pages"><start>1</start><end>590</end></extent><extent unit="pages"><start>185</start><end>199</end></extent></part></relatedItem><identifier type="istex">8DB777CB48626A9D7C23D3084DCF80FAAB3B496F</identifier><identifier type="ark">ark:/67375/6H6-HG8Z6M39-H</identifier><identifier type="DOI">10.1016/0377-0427(95)00161-1</identifier><identifier type="PII">0377-0427(95)00161-1</identifier><recordInfo><recordContentSource authority="ISTEX" authorityURI="https://loaded-corpus.data.istex.fr" valueURI="https://loaded-corpus.data.istex.fr/ark:/67375/XBH-HKKZVM7B-M">elsevier</recordContentSource></recordInfo></mods><json:item><extension>json</extension><original>false</original><mimetype>application/json</mimetype><uri>https://api.istex.fr/ark:/67375/6H6-HG8Z6M39-H/record.json</uri></json:item></metadata><serie></serie></istex></record>Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Lorraine/explor/InforLorV4/Data/Istex/Corpus
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 002089 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Istex/Corpus/biblio.hfd -nk 002089 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien
|wiki= Wicri/Lorraine
|area= InforLorV4
|flux= Istex
|étape= Corpus
|type= RBID
|clé= ISTEX:8DB777CB48626A9D7C23D3084DCF80FAAB3B496F
|texte= Operator calculus approach to orthogonal polynomial expansions
}}
| This area was generated with Dilib version V0.6.33. |  |