Indeterminate moment problem associated with continuous dual q-Hahn polynomials

被引：0

作者：

Jordaan, K. ^{[1
]}

Nangho, M. Kenfack ^{[2
,3
]}

机构：

[1] Univ South Africa, Dept Decis Sci, Pretoria, South Africa

[2] Univ Dschang, Dept Math & Comp Sci, Dschang, Cameroon

[3] Univ Dschang, Dept Math & Comp Sci, POB 67, Dschang, Cameroon

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2023年 / 29卷 / 02期

关键词：

Moment problem; continuous dual q-Hahn polynomials; divided-difference operators; Q-HERMITE POLYNOMIALS;

D O I：

10.1080/10236198.2023.2186329

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a limiting case of the Askey-Wilson polynomials when one of the parameters goes to infinity, namely continuous dual q-Hahn polynomials when q>1. Solutions to the associated indeterminate moment problem by general theory are found and an orthogonality relation is established.

引用

页码：165 / 180

页数：16

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