Article citationsMore>>

Metwally, M.S. (2011) Operational Rules and Arbitrary Order Two-Index Two-Variable Hermite Matrix Generating Functions. Acta Mathematica Academiae Paedagogicae Nyegyhiensi (N.S.), 27, 41-49.

has been cited by the following article:

• TITLE: Generalized Form of Hermite Matrix Polynomials via the Hypergeometric Matrix Function

  AUTHORS: Raed S. Batahan

  KEYWORDS: Hermite and Chebyshev Matrix Polynomials, Three Terms Recurrence Relation, Hypergeometric Matrix Function and Gamma Matrix Function

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.4 No.2, June 23, 2014

  ABSTRACT: 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.