Continuous − 1 $-1$ hypergeometric orthogonal polynomials

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-07-04 DOI:10.1111/sapm.12728

Jonathan Pelletier, Luc Vinet, Alexei Zhedanov

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引用次数: 0

Abstract

The study of $- 1$ orthogonal polynomials viewed as $q \to - 1$ limits of the $q$ -orthogonal polynomials is pursued. This paper presents 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.