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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.21 No.3

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ON MATRIX POLYNOMIALS ASSOCIATED WITH HUMBERT POLYNOMIALS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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.
Bin-Saad, Maged G.
Al-Sarahi, Fadhl
Pathan,, M. , Bin-Saad,, M. G. , & Al-Sarahi,, F. (2014). ON MATRIX POLYNOMIALS ASSOCIATED WITH HUMBERT POLYNOMIALS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 21(3), 207-218, https://doi.org/10.7468/jksmeb.2014.21.3.207

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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