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
收藏
页码：64 / 89
页数：26
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