Generalized form of 2D-Laguerre polynomials

被引：1

作者：

Shahwan, Mohannad J. S. ^{[1
]}

Bin-Saad, Maged G. ^{[2
]}

机构：

[1] Univ Bahrain, Dept Math, Sakheer, Bahrain

[2] Aden Univ, Aden, Yemen

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2025年 / 36卷 / 01期

关键词：

Laguerre 2D polynomials; Rodrigues and operational formulas; lowering and raising operators; generating functions; Appell and Lauricella functions; HERMITE-POLYNOMIALS; LAGUERRE; TRANSFORMATIONS;

D O I：

10.1080/10652469.2024.2387752

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of this research is to present and investigate a novel class of 2D-Laguerre polynomials, which contains some well-known 2D-polynomials as special cases.We discuss its numerous features, including integral representations, operational identities, the monomiality principle, generating functions, and linkages to Appll functions of two variables and Lauricella functions of r-variables. Finally, we raise relevant issues for further research.

引用

页码：64 / 89

页数：26

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