On the Limit Distributions of the Zeros of Jonquière Polynomials and Generalized Classical Orthogonal Polynomials
Identifieur interne : 002941 ( Main/Exploration ); précédent : 002940; suivant : 002942On the Limit Distributions of the Zeros of Jonquière Polynomials and Generalized Classical Orthogonal Polynomials
Auteurs : J. Faldey [Allemagne] ; W. Gawronski [Allemagne]Source :
- Journal of Approximation Theory [ 0021-9045 ] ; 1995.
Abstract
Jonquière polynomials Jk are defined by the rational function ∑∞0nkzn = Jk(z)/(1 − z)k+1, k ∈ N0. For a general class of polynomials including Jk, the limit distribution of its zeros is computed. Recently Dette and Studden have found the asymptotic zero distributions for Jacobi, Laguerre, and Hermite polynomials P(αn, βn)n, L(αn)n, and H(αn)n with degree dependent parameters αn, βn by using a continued fraction technique. In this paper these limit distributions are derived via a differential equation approach.
Url:
DOI: 10.1006/jath.1995.1047
Affiliations:
Links toward previous steps (curation, corpus...)
- to stream Istex, to step Corpus: 000230
- to stream Istex, to step Curation: 000225
- to stream Istex, to step Checkpoint: 001139
- to stream Main, to step Merge: 002E44
- to stream Main, to step Curation: 002941
Le document en format XML
<record><TEI wicri:istexFullTextTei="biblStruct"><teiHeader><fileDesc><titleStmt><title xml:lang="en">On the Limit Distributions of the Zeros of Jonquière Polynomials and Generalized Classical Orthogonal Polynomials</title>
<author><name sortKey="Faldey, J" sort="Faldey, J" uniqKey="Faldey J" first="J." last="Faldey">J. Faldey</name>
</author>
<author><name sortKey="Gawronski, W" sort="Gawronski, W" uniqKey="Gawronski W" first="W." last="Gawronski">W. Gawronski</name>
</author>
</titleStmt>
<publicationStmt><idno type="wicri:source">ISTEX</idno>
<idno type="RBID">ISTEX:7FB1CC00CC1306E515D7DC60F7D5DA936FEE62C8</idno>
<date when="1995" year="1995">1995</date>
<idno type="doi">10.1006/jath.1995.1047</idno>
<idno type="url">https://api.istex.fr/document/7FB1CC00CC1306E515D7DC60F7D5DA936FEE62C8/fulltext/pdf</idno>
<idno type="wicri:Area/Istex/Corpus">000230</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Corpus" wicri:corpus="ISTEX">000230</idno>
<idno type="wicri:Area/Istex/Curation">000225</idno>
<idno type="wicri:Area/Istex/Checkpoint">001139</idno>
<idno type="wicri:explorRef" wicri:stream="Istex" wicri:step="Checkpoint">001139</idno>
<idno type="wicri:doubleKey">0021-9045:1995:Faldey J:on:the:limit</idno>
<idno type="wicri:Area/Main/Merge">002E44</idno>
<idno type="wicri:Area/Main/Curation">002941</idno>
<idno type="wicri:Area/Main/Exploration">002941</idno>
</publicationStmt>
<sourceDesc><biblStruct><analytic><title level="a" type="main" xml:lang="en">On the Limit Distributions of the Zeros of Jonquière Polynomials and Generalized Classical Orthogonal Polynomials</title>
<author><name sortKey="Faldey, J" sort="Faldey, J" uniqKey="Faldey J" first="J." last="Faldey">J. Faldey</name>
<affiliation wicri:level="1"><country xml:lang="fr">Allemagne</country>
<wicri:regionArea>Univ Trier, Math Abt, D 54286 Trier</wicri:regionArea>
<wicri:noRegion>54286 Trier</wicri:noRegion>
<wicri:noRegion>D 54286 Trier</wicri:noRegion>
</affiliation>
</author>
<author><name sortKey="Gawronski, W" sort="Gawronski, W" uniqKey="Gawronski W" first="W." last="Gawronski">W. Gawronski</name>
<affiliation wicri:level="1"><country xml:lang="fr">Allemagne</country>
<wicri:regionArea>Univ Trier, Math Abt, D 54286 Trier</wicri:regionArea>
<wicri:noRegion>54286 Trier</wicri:noRegion>
<wicri:noRegion>D 54286 Trier</wicri:noRegion>
</affiliation>
</author>
</analytic>
<monogr></monogr>
<series><title level="j">Journal of Approximation Theory</title>
<title level="j" type="abbrev">YJATH</title>
<idno type="ISSN">0021-9045</idno>
<imprint><publisher>ELSEVIER</publisher>
<date type="published" when="1995">1995</date>
<biblScope unit="volume">81</biblScope>
<biblScope unit="issue">2</biblScope>
<biblScope unit="page" from="231">231</biblScope>
<biblScope unit="page" to="249">249</biblScope>
</imprint>
<idno type="ISSN">0021-9045</idno>
</series>
<idno type="istex">7FB1CC00CC1306E515D7DC60F7D5DA936FEE62C8</idno>
<idno type="DOI">10.1006/jath.1995.1047</idno>
<idno type="PII">S0021-9045(85)71047-7</idno>
</biblStruct>
</sourceDesc>
<seriesStmt><idno type="ISSN">0021-9045</idno>
</seriesStmt>
</fileDesc>
<profileDesc><textClass></textClass>
<langUsage><language ident="en">en</language>
</langUsage>
</profileDesc>
</teiHeader>
<front><div type="abstract" xml:lang="en">Jonquière polynomials Jk are defined by the rational function ∑∞0nkzn = Jk(z)/(1 − z)k+1, k ∈ N0. For a general class of polynomials including Jk, the limit distribution of its zeros is computed. Recently Dette and Studden have found the asymptotic zero distributions for Jacobi, Laguerre, and Hermite polynomials P(αn, βn)n, L(αn)n, and H(αn)n with degree dependent parameters αn, βn by using a continued fraction technique. In this paper these limit distributions are derived via a differential equation approach.</div>
</front>
</TEI>
<affiliations><list><country><li>Allemagne</li>
</country>
</list>
<tree><country name="Allemagne"><noRegion><name sortKey="Faldey, J" sort="Faldey, J" uniqKey="Faldey J" first="J." last="Faldey">J. Faldey</name>
</noRegion>
<name sortKey="Gawronski, W" sort="Gawronski, W" uniqKey="Gawronski W" first="W." last="Gawronski">W. Gawronski</name>
</country>
</tree>
</affiliations>
</record>
Pour manipuler ce document sous Unix (Dilib)
EXPLOR_STEP=$WICRI_ROOT/Wicri/Rhénanie/explor/UnivTrevesV1/Data/Main/Exploration
HfdSelect -h $EXPLOR_STEP/biblio.hfd -nk 002941 | SxmlIndent | more
Ou
HfdSelect -h $EXPLOR_AREA/Data/Main/Exploration/biblio.hfd -nk 002941 | SxmlIndent | more
Pour mettre un lien sur cette page dans le réseau Wicri
{{Explor lien |wiki= Wicri/Rhénanie |area= UnivTrevesV1 |flux= Main |étape= Exploration |type= RBID |clé= ISTEX:7FB1CC00CC1306E515D7DC60F7D5DA936FEE62C8 |texte= On the Limit Distributions of the Zeros of Jonquière Polynomials and Generalized Classical Orthogonal Polynomials }}
![]() | This area was generated with Dilib version V0.6.31. | ![]() |