Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

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Commun. Korean Math. Soc. 2022; 37(2): 473-496

Online first article March 29, 2022      Printed April 30, 2022

https://doi.org/10.4134/CKMS.c210090

Copyright © The Korean Mathematical Society.

Certain reduction and transformation formulas for the Kamp'{e} de F'{e}riet function

Medhat A. Rakha, Arjun K. Rathie

Suez Canal University; Rajasthan Technical University

Abstract

In 2014, Liu and Wang established a large number of interesting reduction, transformation and summation formulas for the Kamp'{e} de F'{e}riet function. Inspired by the work, we aim to find further several transformation and reduction formulas for the Kamp'{e} de F'{e}riet function. Theses formulas are mainly based on the formulas given by Liu and Wang cite{33}.

Keywords: Generalized hypergeometric function, Kamp'{e} de F'{e}riet function, reduction, summation and transformation ormulas

MSC numbers: Primary 33B15, 33C05, 33C15; Secondary33C65, 33C20

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