Generalized Form of Hermite Matrix Polynomials via the Hypergeometric Matrix Function  

作　　者：Raed S. Batahan 

机构地区：[1]Department of Mathematics, Faculty of Science, Hadhramout University, Hadhranout, Yemen

出　　处：《Advances in Linear Algebra & Matrix Theory》2014年第2期134-141,共8页线性代数与矩阵理论研究进展（英文）

摘　　要：The object of this paper is to present a new generalization of the Hermite matrix polynomials by means of the hypergeometric matrix function. An integral representation, differential recurrence relation and some other properties of these generalized forms are established here. Moreover, some new properties of the Hermite and Chebyshev matrix polynomials are obtained. In particular, the two-variable and two-index Chebyshev matrix polynomials of two matrices are presented.The object of this paper is to present a new generalization of the Hermite matrix polynomials by means of the hypergeometric matrix function. An integral representation, differential recurrence relation and some other properties of these generalized forms are established here. Moreover, some new properties of the Hermite and Chebyshev matrix polynomials are obtained. In particular, the two-variable and two-index Chebyshev matrix polynomials of two matrices are presented.

关 键 词：HERMITE and CHEBYSHEV MATRIX POLYNOMIALS Three Terms Recurrence Relation HYPERGEOMETRIC MATRIX FUNCTION and Gamma MATRIX FUNCTION 

分 类 号：O1[理学—数学]