论文标题

连续$ -1 $ $超几何正交多项式

Continuous $-1$ Hypergeometric Orthogonal Polynomials

论文作者

Pelletier, Jonathan, Vinet, Luc, Zhedanov, Alexei

论文摘要

$ -1 $正交多项式的研究被视为$ q = -1 $限制的$ q $ - 正交多项式。本文介绍了$ Q $ -ASKEY计划的$ -1 $类似物的连续多项式部分。提供了所有连续$ -1 $超几何多项式的属性及其连接的属性。

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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