SOME τ-EXTENSIONS OF LAURICELLA FUNCTIONS OF SEVERAL VARIABLES

- Journal title : Communications of the Korean Mathematical Society
- Volume 30, Issue 3, 2015, pp.239-252
- Publisher : The Korean Mathematical Society
- DOI : 10.4134/CKMS.2015.30.3.239

Title & Authors

SOME τ-EXTENSIONS OF LAURICELLA FUNCTIONS OF SEVERAL VARIABLES

KALLA, SHYAM LAL; PARMAR, RAKESH KUMAR; PUROHIT, SUNIL DUTT;

KALLA, SHYAM LAL; PARMAR, RAKESH KUMAR; PUROHIT, SUNIL DUTT;

Abstract

Motivated mainly by certain interesting extensions of the -hypergeometric function defined by Virchenko et al. [11] and some -Appell`s function introduced by Al-Shammery and Kalla [1], we introduce here the -Lauricella functions , and and the confluent forms and of n variables. We then systematically investigate their various integral representations of each of these -Lauricella functions including their generating functions. Various (known or new) special cases and consequences of the results presented here are also considered.

Keywords

generalized hypergeometric function;generlalized -hypergeometric function;Appell`s and Lauricella functions;-Appell`s function;-Lauricella functions of several variables;generating function;

Language

English

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