Hahn multiple orthogonal polynomials of type I: Hypergeometric expressions

被引：6

作者：

Branquinho, Amilcar ^{[1
]}

Diaz, Juan E. F. ^{[2
]}

Foulquie-Moreno, Ana ^{[2
]}

Manas, Manuel ^{[3
,4
]}

机构：

[1] Univ Coimbra, Dept Matemat, CMUC, P-3001454 Coimbra, Portugal

[2] Univ Aveiro, Dept Matemat, CIDMA, P-3810193 Aveiro, Portugal

[3] Univ Complutense Madrid, Dept Fis Teor, Plaza Ciencias 1, Madrid 28040, Spain

[4] Inst Ciencias Matemat ICMAT, Campus Cantoblanco UAM, Madrid 28049, Spain

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 528卷 / 01期

关键词：

Multiple orthogonal polynomials; Askey scheme; Generalized hypergeometric; functions; Kamp e de Feriet hypergeometric; MIXED-TYPE;

D O I：

10.1016/j.jmaa.2023.127471

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Explicit expressions for the Hahn multiple polynomials of type I, in terms of Kamp e de Feriet hypergeometric series, are given. Orthogonal and biorthogonal relations are proven. Then, part of the Askey scheme for multiple orthogonal polynomials type I is completed. In particular, explicit expressions in terms of generalized hypergeometric series and Kamp e de Feriet hypergeometric series, are given for the multiple orthogonal polynomials of type I for the Jacobi-Pineiro, Meixner I, Meixner II, Kravchuk, Laguerre I, Laguerre II and Charlier families.& COPY; 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons .org /licenses /by /4 .0/).

引用

页数：27

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