Multi-variable Hermite matrix polynomials: Properties and applications

被引：8

作者：

Khan, Subuhi ^{[1
]}

Al-Gonah, Ahmed Ali ^{[1
]}

机构：

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

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2014年 / 412卷 / 01期

关键词：

Hermite matrix polynomials; Operational representations; Expansion formulae; GENERALIZED POLYNOMIALS; OPERATIONAL IDENTITIES; GENERATING-FUNCTIONS; EXTENSION; FAMILIES;

D O I：

10.1016/j.jmaa.2013.10.037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the multi-variable Hermite matrix polynomials are introduced by algebraic decomposition of exponential operators. Their properties are established using operational methods. The matrix forms of the Chebyshev and truncated polynomials of two variable are also introduced, which are further used to derive certain operational representations and expansion formulae. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：222 / 235

页数：14

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