NEW SUMMATION FORMULAE FOR THE GENERALIZED HYPERGEOMETRIC FUNCTIONS OF HIGH ORDER

• Journal title : Honam Mathematical Journal
• Volume 34, Issue 3,  2012, pp.467-472
• Publisher : The Honam Mathematical Society
• DOI : 10.5831/HMJ.2012.34.3.467
Title & Authors
NEW SUMMATION FORMULAE FOR THE GENERALIZED HYPERGEOMETRIC FUNCTIONS OF HIGH ORDER
Lee, Seung-Woo; Rathie, Arjun K.; Pandey, Ujjawal; Kim, Yong-Sup;

Abstract
The aim of this paper is to provide two interesting summation formulae with the argument unity for the generalized hypergeometric function of higher order. The results are obtained with the help of two new summation formulae very recently obtained by Kim et al.. Summation formulae obtained earlier by Carlson and re-derived by Exton turn out to be special cases of our main findings.
Keywords
Hypergeometric $\small{_5F_4[1]}$, $\small{_3F_2[{\pm}1]}$;summation formula;
Language
English
Cited by
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