Some bilateral generating functions involving the Chan-Chyan-Srivastava polynomials and some general classes of multivariable polynomials
Commun. Korean Math. Soc. 2013 Vol. 28, No. 4, 783-797
https://doi.org/10.4134/CKMS.2013.28.4.783
Printed October 1, 2013
Sebastien Gaboury, Mehmet Ali \"{O}zarslan, and Richard Tremblay
University of Quebec at Chicoutimi, Eastern Mediterranean University, University of Quebec at Chicoutimi
Abstract : Recently, Liu et al. [Bilateral generating functions for the Chan-Chyan-Srivastava polynomials and the generalized Lauricella function, Integral Transform Spec. Funct. 23 (2012), no. 7, 539--549] investigated, in several interesting papers, some various families of bilateral generating functions involving the Chan-Chyan-Srivastava polynomials. The aim of this present paper is to obtain some bilateral generating functions involving the Chan-Chyan-Sriavastava polynomials and three general classes of multivariable polynomials introduced earlier by Srivastava in [A contour integral involving Fox's H-function, Indian J. Math. 14 (1972), 1--6], [A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials, Pacific J. Math. 117 (1985), 183--191] and by Kaano\u{g}lu and \"{O}zarslan in [Two-sided generating functions for certain class of r-variable polynomials, Mathematical and Computer Modelling 54 (2011), 625--631]. Special cases involving the (Srivastava-Daoust) generalized Lauricella functions are also given.
Keywords : Chan-Chyan-Srivastava polynomials, Srivastava polynomials, (Srivastava-Daoust) generalized Lauricella functions, bilateral generating functions, special functions
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