On Matrix polynomials associated with Hermite polynomials

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Published: Jun 30, 2015
DOI: https://doi.org/10.5556/j.tkjm.46.2015.1722
Keywords:
Hypergeometric function Hermite matrix polynomials gen- erating function Legendre and Chebyshev matrix polynomials.

Main Article Content

Maged G. Bin-Saad
Math Dept, Special functions
M. A. Pathan
Fadhl AL-Sarhi

Abstract

In this paper, an extension of the Hermite matrix polynomials is introduced. Some relevant matrix functions appear in terms of the two-index and two-variable and p-index and p-variable Hermite matrix polynomials. Furthermore, in order to give qualitative properties of this family of matrix polynomials, the Legendre and Chebyshev matrix polynomials of sveral variables are introduced.

Article Details

How to Cite
Bin-Saad, M. G., Pathan, M. A., & AL-Sarhi, F. (2015). On Matrix polynomials associated with Hermite polynomials. Tamkang Journal of Mathematics, 46(2), 167–177. https://doi.org/10.5556/j.tkjm.46.2015.1722
Issue
Vol. 46 No. 2 (2015)
Section
Papers
Author Biographies

Maged G. Bin-Saad, Math Dept, Special functions

Department ofMathematics, Aden University, Kohrmakssar P.O.Box 6014, Yemen.

M. A. Pathan

Centre forMathematical and statistical Sciences (CMSS), KFRI, Peechi P.O., Thrissur, Kerala-680653, India.

Fadhl AL-Sarhi

Department ofMathematics, Aden University, Kohrmakssar P.O.Box 6014, Yemen.

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