On classical orthogonal polynomials related to Hahn's operator

被引：6

作者：

Alvarez-Nodarse, R. ^{[1
]}

Castillo, K. ^{[2
]}

Mbouna, D. ^{[2
]}

Petronilho, J. ^{[2
]}

机构：

[1] Univ Seville, IMUS, Dept Anal Matemat, Seville, Spain

[2] Univ Coimbra, Dept Math, CMUC, P-3001501 Coimbra, Portugal

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2020年 / 31卷 / 06期

关键词：

Orthogonal polynomials; moment linear functionals; Hahn's operator; regularity conditions;

D O I：

10.1080/10652469.2019.1702981

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let be a Hahn operator acting on the dual space of polynomials. Suppose that there exist polynomials phi and psi, with and , so that the functional equation D-q,D-omega(phi u) =phi u <g holds, where the involved operations are defined in a distributional sense. In this note we state necessary and sufficient conditions, involving only the coefficients of phi and psi, such that is regular, that is, there exists a sequence of orthogonal polynomials with respect to.

引用

页码：487 / 505

页数：19

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