Some properties of Legendre-Gould Hopper polynomials and operational methods

被引：9
|
作者：
Yasmin, Ghazala [1 ]
机构：
[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 413卷 / 01期
关键词：
Legendre-Gould Hopper polynomials; Operational methods; Monomiality principle; GENERALIZED POLYNOMIALS; GENERATING-FUNCTIONS; HERMITE-POLYNOMIALS; BESSEL-FUNCTIONS; IDENTITIES; FAMILIES; EXTENSION; MONOMIALS;
D O I：
10.1016/j.jmaa.2013.11.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the author introduces the Legendre-Gould Hopper polynomials by combining the operational methods with the principle of monomiality. Generating functions, series definition, differential equation and certain other properties of Legendre-Gould Hopper polynomials are derived. Further, operational representations of these polynomials are established, which are used to get integral representations and expansion formulae. Certain summation formulae for these polynomials are also obtained. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：84 / 99
页数：16
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