Continuous −1$-1$ hypergeometric orthogonal polynomials

The study of −1$-1$ orthogonal polynomials viewed as q→−1$q\rightarrow -1$ limits of the q$q$‐orthogonal polynomials is pursued. This paper presents the continuous polynomials part of the −1$-1$ analog of the q$q$‐Askey scheme. A compendium of the properties of all the continuous −1$-1$ hypergeometr...

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Bibliographic Details
Published in:Studies in applied mathematics (Cambridge) 2024-10, Vol.153 (3), p.n/a
Main Authors: Pelletier, Jonathan, Vinet, Luc, Zhedanov, Alexei
Format: Article
Language:English
Subjects:
1 Askey scheme
1 orthogonal polynomials
Continuity (mathematics)
hypergeometric orthogonal polynomials
Polynomials
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Summary:The study of −1$-1$ orthogonal polynomials viewed as q→−1$q\rightarrow -1$ limits of the q$q$‐orthogonal polynomials is pursued. This paper presents the continuous polynomials part of the −1$-1$ analog of the q$q$‐Askey scheme. A compendium of the properties of all the continuous −1$-1$ hypergeometric polynomials and their connections is provided.
ISSN:0022-2526
1467-9590
DOI:10.1111/sapm.12728