Original scientific paper

New summation formula for ${}_3F_2\big(\tfrac12\big)$ and a Kummer--type II transformation of ${}_2F_2(x)$

Arjun K. Rathie ; MIT Engineering College, Raisar, Rajasthan State, India
Tibor K. Pogány orcid.org/0000-0002-4635-8257 ; Faculty of Maritime Studies, University of Rijeka, Rijeka, Croatia

Abstract

The aim of this research note is a new summation formula for the series ${}_3F_2\big(\tfrac12\big)$.
The summation formula is then applied to establish a Kummer--type II transformation for
the series ${}_2F_2(x)$.

Keywords

hypergeometric ${}_3F_2$; Kummer--type transformations; summation formula

Hrčak ID:

23558

URI

https://hrcak.srce.hr/23558

Publication date:

28.5.2008.

Visits: 2.303 *