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arXiv · 2209.10727

Continuous $-1$ Hypergeometric Orthogonal Polynomials

Jonathan Pelletier·Luc Vinet·Alexei Zhedanov
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Abstract

The study of $-1$ orthogonal polynomials viewed as $q =-1$ limits of the $q$-orthogonal polynomials is pursued. This paper present the continuous polynomials part of the $-1$ analog of the $q$-Askey scheme. A compendium of the properties of all the continuous $-1$ hypergeometric polynomials and their connections is provided.

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Jonathan Pelletier, Luc Vinet, Alexei Zhedanov. 2022-09-22. Continuous $-1$ Hypergeometric Orthogonal Polynomials. https://arxiv.org/abs/2209.10727

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