ON MATRIX POLYNOMIALS ASSOCIATED WITH HUMBERT POLYNOMIALS
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The principal object of this paper is to study a class of matrix poly-nomials associated with Humbert polynomials. These polynomials generalize thewell known class of Gegenbauer, Legendre, Pincherl, Horadam, Horadam-Pethe andKinney polynomials. We shall give some basic relations involving the Humbertmatrix polynomials and then take up several generating functions, hypergeometricrepresentations and expansions in series of matrix polynomials.
Abstract
The principal object of this paper is to study a class of matrix poly-nomials associated with Humbert polynomials. These polynomials generalize thewell known class of Gegenbauer, Legendre, Pincherl, Horadam, Horadam-Pethe andKinney polynomials. We shall give some basic relations involving the Humbertmatrix polynomials and then take up several generating functions, hypergeometricrepresentations and expansions in series of matrix polynomials.
참고문헌 (14)
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