Some properties of Hermite-based Sheffer polynomials

被引：16

作者：

Khan, Subuhi ^{[1
]}

Al-Saad, Mustafa Walid ^{[1
]}

Yasmin, Ghazala ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 217卷 / 05期

关键词：

Monomiality principle; Hermite polynomials; Sheffer polynomials; Hermite-Sheffer polynomials; GENERALIZED POLYNOMIALS; OPERATIONAL IDENTITIES; MONOMIALITY PRINCIPLE;

D O I：

10.1016/j.amc.2010.07.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the concepts and the formalism associated with monomiality principle and Sheffer sequences are used to introduce family of Hermite-based Sheffer polynomials. Some properties of Hermite-Sheffer polynomials are considered. Further, an operational formalism providing a correspondence between Sheffer and Hermite-Sheffer polynomials is developed. Furthermore, this correspondence is used to derive several new identities and results for members of Hermite-Sheffer family. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2169 / 2183

页数：15

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