Some bilateral generating functions involving the Erkus-Srivastava polynomials and some general classes of multivariable polynomials

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Published: Sep 30, 2014
DOI: https://doi.org/10.5556/j.tkjm.45.2014.1299
Keywords:
Chan-Chyan-Srivastava polynomials, Erkus-Srivastava polynomials, Srivastava polynomials, (Srivastava-Daoust) generalized Lauricella, bilateral generating functions, Special functions

Main Article Content

Sébastien Gaboury
Richard Tremblay
Mehmet Ali Özarslan

Abstract

Recently, Liu et al. [Bilateral generating functions for the Erkucs-Srivastava polynomials and the generalized Lauricella function, Appl.Math.Comput.218 (2012),pp.7685-7693 investigated some various families of bilateral generating functions involving the Erkucs Srivastava polynomials. The aim of this present paper is to obtain some bilateral generating functions involving the Erkucs-Srivastava 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), pp.1-6, A multilinear generating function for the Konhauser sets of biorthogonal polynomials suggested by the Laguerre polynomials, Pacific J.Math.117 (1985), pp.183-191] and by Kaanouglu and Ozarslan in Two-sided generating functions for certain class of r-variable polynomials, Mathematical and Computer Modelling 54 (2011), pp.625-631. Special cases involving the (Srivastava-Daoust) generalized Lauricella functions are also given.

Article Details

How to Cite
Gaboury, S., Tremblay, R., & Özarslan, M. A. (2014). Some bilateral generating functions involving the Erkus-Srivastava polynomials and some general classes of multivariable polynomials. Tamkang Journal of Mathematics, 45(4), 341–356. https://doi.org/10.5556/j.tkjm.45.2014.1299
Issue
Vol. 45 No. 4 (2014)
Section
Papers
Author Biographies

Sébastien Gaboury

Department of Mathematics and Computer Science, University of Quebec at Chicoutimi, Quebec, Canada, G7H 2B1.

Richard Tremblay

Department of Mathematics and Computer Science, University of Quebec at Chicoutimi, Quebec, Canada, G7H 2B1.

Mehmet Ali Özarslan

EasternMediterranean University, Gazimagusa, TRNC,Mersin 10, Turkey.

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