ON MATRIX POLYNOMIALS ASSOCIATED WITH HUMBERT POLYNOMIALS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2014, v.21 no.3, pp.207-218

https://doi.org/10.7468/jksmeb.2014.21.3.207

Pathan, M.A. (Centre for Mathematical and statistical Sciences (CMSS), KFRI)
Bin-Saad, Maged G. (Department of Mathematics, Aden University)
Al-Sarahi, Fadhl (Department of Mathematics, Aden University)

Pathan, M.A., Bin-Saad, Maged G., & Al-Sarahi, Fadhl. (2014). ON MATRIX POLYNOMIALS ASSOCIATED WITH HUMBERT POLYNOMIALS. 한국수학교육학회지시리즈B:순수및응용수학, 21(3), 207-218, https://doi.org/10.7468/jksmeb.2014.21.3.207

복사

Abstract

The principal object of this paper is to study a class of matrix polynomials associated with Humbert polynomials. These polynomials generalize the well known class of Gegenbauer, Legendre, Pincherl, Horadam, Horadam-Pethe and Kinney polynomials. We shall give some basic relations involving the Humbert matrix polynomials and then take up several generating functions, hypergeometric representations and expansions in series of matrix polynomials.

keywords: hypergeometric matrix function, Humbert matrix polynomials, generating matrix function, generating relations, Gegenbauer matrix polynomials

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Vol.21 No.3

ON MATRIX POLYNOMIALS ASSOCIATED WITH HUMBERT POLYNOMIALS

ON MATRIX POLYNOMIALS ASSOCIATED WITH HUMBERT POLYNOMIALS

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학