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http://dx.doi.org/10.4134/CKMS.2013.28.4.783

SOME BILATERAL GENERATING FUNCTIONS INVOLVING THE CHAN-CHYAN-SRIVASTAVA POLYNOMIALS AND SOME GENERAL CLASSES OF MULTIVARIABLE POLYNOMIALS  

Gaboury, Sebastien (Department of Mathematics and Computer Science University of Quebec at Chicoutimi)
Ozarslan, Mehmet Ali (Eastern Mediterranean University)
Tremblay, Richard (Department of Mathematics and Computer Science University of Quebec at Chicoutimi)
Publication Information
Communications of the Korean Mathematical Society / v.28, no.4, 2013 , pp. 783-797 More about this Journal
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$\breve{g}$lu and $\ddot{O}$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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