The algebra of difference operators associated to Meixner type polynomials

IF 0.7 3区数学 Q2 MATHEMATICS

Integral Transforms and Special Functions Pub Date : 2022-12-29 DOI:10.1080/10652469.2022.2155642

A. J. Durán, Mónica Rueda

引用次数: 0

Abstract

Meixner type polynomials are defined from the Meixner polynomials by using Casoratian determinants whose entries belong to two given finite sets of polynomials and . They are eigenfunctions of higher-order difference operators but only for a careful choice of the polynomials and , the sequence is orthogonal with respect to a measure. Under mild assumptions, we characterize in this paper the algebra formed by all difference operators with respect to which the family of Meixner type polynomials are eigenfunctions.

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与迈克斯纳型多项式相关的差分算子的代数

Meixner型多项式是由Meixner多项式通过使用Casoratian行列式定义的，该行列式的项属于两个给定的有限多项式集和。它们是高阶差分算子的本征函数，但仅用于仔细选择多项式，并且序列相对于测度是正交的。在温和的假设下，我们刻画了由所有差分算子形成的代数，关于该代数，Meixner型多项式族是本征函数。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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

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