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
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.
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页码:64 / 89
页数:26
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