Monomiality principle, operational methods and family of Laguerre-Sheffer polynomials

被引：11

作者：

Khan, Subuhi ^{[1
]}

Raza, Nusrat ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 387卷 / 01期

关键词：

Sheffer polynomials; Laguerre-Sheffer polynomials; Laguerre-Appell polynomials; Monomiality principle; Operational methods; INTEGRAL-TRANSFORMS; EQUATIONS;

D O I：

10.1016/j.jmaa.2011.08.064

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the Laguerre-Sheffer polynomials are introduced by using the monomiality principle formalism and operational methods. The generating function for the Laguerre-Sheffer polynomials is derived and a correspondence between these polynomials and the Sheffer polynomials is established. Further, differential equation, recurrence relations and other properties for the Laguerre-Sheffer polynomials are established. Some concluding remarks are also given. (C) 2011 Elsevier Inc. All rights reserved.

引用

页码：90 / 102

页数：13

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