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Generalized Form of Hermite Matrix Polynomials via the Hypergeometric Matrix Function
Department of Mathematics, Faculty of Science, Hadhramout University, Hadhranout, Yemen
- 1 Department of Mathematics, Faculty of Science, Hadhramout University, Hadhranout, Yemen
Advances in Linear Algebra & Matrix Theory·Volume 04 (2014)·Pages 134–141·Published 15 May 2014·DOI10.4236/alamt.2014.42012
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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.
KeywordsHermite and Chebyshev Matrix PolynomialsThree Terms Recurrence RelationHypergeometric Matrix Function and Gamma Matrix Function
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