经典正交多项式线性化系数的二维邻接关系

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2023-03-01 DOI:10.1080/10652469.2023.2180502

H. Cohl, Lisa Ritter

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引用次数: 0

摘要

摘要利用正交多项式的三项递推关系，我们得到了某些广义超几何函数的二维连续关系的集合。这些广义超几何函数是通过对Askey格式中的一些经典正交多项式，即Gegenbauer（超球面）、Hermite、Jacobi和Laguerre多项式的线性化系数产生的。

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Two-dimensional contiguous relations for the linearization coefficients of classical orthogonal polynomials

ABSTRACT By using the three-term recurrence relation for orthogonal polynomials, we produce a collection of two-dimensional contiguous relations for certain generalized hypergeometric functions. These generalized hypergeometric functions arise through linearization coefficients for some classical orthogonal polynomials in the Askey-scheme, namely Gegenbauer (ultraspherical), Hermite, Jacobi and Laguerre polynomials.

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来源期刊

Integral Transforms and Special Functions 数学-数学

CiteScore

2.20

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Integral Transforms and Special Functions belongs to the basic subjects of mathematical analysis, the theory of differential and integral equations, approximation theory, and to many other areas of pure and applied mathematics. Although centuries old, these subjects are under intense development, for use in pure and applied mathematics, physics, engineering and computer science. This stimulates continuous interest for researchers in these fields. The aim of Integral Transforms and Special Functions is to foster further growth by providing a means for the publication of important research on all aspects of the subjects.