Generating functions for generalized Hermite polynomials associated with parabolic cylinder functions

被引：0

作者：

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

Sharif, A. M. ^{[1
]}

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

机构：

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

[2] Aden Univ, Dept Math, POB 6014, Khormaksar, Yemen

来源：

INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS | 2020年 / 31卷 / 05期

关键词：

Generalized Hermite polynomials; parabolic cylinder functions; generating functions; Weisners group theoretic method; operational rules; LAGUERRE-POLYNOMIALS;

D O I：

10.1080/10652469.2019.1697695

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we first give some basic properties of generalized Hermite polynomials associated with parabolic cylinder functions. We next use Weisners group theoretic method and operational rules method to establish new generating functions for these generalized Hermite polynomials. The operational methods we use allow us to obtain unilateral, bilinear and bilateral generating functions by using the same procedure. Applications of generating functions obtained by Weisners group theoretic method are discussed.

引用

页码：383 / 394

页数：12

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