Some properties of generalized hypergeometric function

Snehal B. Rao; Amit D. Patel; Jyotindra C. Prajapati; Ajay K. Shukla

doi:10.4134/CKMS.2013.28.2.303

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Commun. Korean Math. Soc. 2013; 28(2): 303-317

Printed April 1, 2013

https://doi.org/10.4134/CKMS.2013.28.2.303

Some properties of generalized hypergeometric function

Snehal B. Rao, Amit D. Patel, Jyotindra C. Prajapati, and Ajay K. Shukla

The M.S. University of Baroda, S.V. National Institute of Technology, Charotar Institute of Technology, S.V. National Institute of Technology

Abstract

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Abstract

In present paper, we obtain functions $R_{\,t} (c,\nu ,a,b)$ and $R_{\,t} (c,$ $-\mu ,a,b)$ by using generalized hypergeometric function. A recurrence relation, integral representation of the generalized hypergeometric function $_2 R_1 (a,b;c;\tau \,;z)$ and some special cases have also been discussed.

Keywords: generalized hypergeometric function, recurrence relation, integral representation, fractional integral and differential operators