Some expansions for a class of generalized Humbert matrix polynomials

被引:11
作者
Srivastava, H. M. [1 ,2 ]
Khan, Waseem A. [3 ]
Haroon, Hiba [3 ]
机构
[1] Univ Victoria, Dept Math & Stat, Victoria, BC V8W 3R4, Canada
[2] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung 40402, Taiwan
[3] Integral Univ, Dept Math, Fac Sci, Lucknow 226026, Uttar Pradesh, India
关键词
Humbert matrix polynomials; Generalized hypergeometric series; Generating matrix functions; Generating relations;
D O I
10.1007/s13398-019-00720-6
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
The paper is an accomplishment of a new 3-variable 4-parameter generating function for Humbert matrix polynomials with an approach of unifying several classes of matrix valued polynomials using standard techniques of seriesmanipulation. The results are contained in the form of explicit expression, hypergeometric matrix representation, generating functions and three additional expansions in nexus with Legendre, Hermite and Gegenbauer polynomials within discrete sections. A range of special cases is evenly traced that accounts due to the genuine wholesome generalization of such matrix polynomials.
引用
收藏
页码:3619 / 3634
页数:16
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