A Class of Multivariable Polynomials Associated with Humbert Polynomials

Authors : Rabia AKTAŞ, Abdullah ALTIN

Pages : 359-372

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Publication Date : 2013-04-01

Article Type : Research Paper

Abstract :In this paper, we present a generalization insert ignore into journalissuearticles values(and unification); of a classof Humbert polynomials which include well known families of ChanChyan-Srivastava, Lagrange-Hermite and Erkus-Srivastava multivariable polynomials. We derive various families of multilateral and multilinear generating functions for these polynomials. We also obtain othermiscellaneous properties of these polynomials. Furthermore, for somespecial cases of these polynomials, we present hypergeometric representations and give expansions of these polynomials in series of someorthogonal polynomials.
Keywords : Humbert polynomials, Chan Chyan Srivastava multivariable polynomials, Lagrange Hermite multivariable polynomials, Erkus Srivastava multivariable polynomials, Multilinear and multilateral generating function, Recurrence relation, Hypergeometric function, 2000 AMS