SOME RESULTS ON k-HYPERGEOMETRIC FUNCTION

SOME RESULTS ON k-HYPERGEOMETRIC FUNCTION

E. Mittal, S. Joshi, D. L. Suthar

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Abstract

In this paper, we establish integral representation and di erentiation formu- las for k-Gauss hypergeometric function 2F1;k(a; b; c; z) and develops a relationship with k-Conuent hypergeometric function 1F1;k(a; b; c; z), which are based properties de ned by Rao and Shukla. Our study is to identify the integral as well di erential representa- tion of 2F1;k(a; b; c; z) and also  nd the inverse Laplace transform on it.

Keywords

k-Gauss hypergeometric function; k-Beta function; k-Gamma Function; Laplace transform.