Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016
qr-code QR
Code

Article

HOME ALL ARTICLES View

Bull. Korean Math. Soc. 2012; 49(3): 621-633

Printed May 1, 2012

https://doi.org/10.4134/BKMS.2012.49.3.621

Copyright © The Korean Mathematical Society.

Two results for the terminating ${}_3F_2(2)$ with applications

Yong Sup Kim, Junesang Choi, and Arjun K. Rathie

Wonkwang University, Dongguk University, Centre for Mathematical Science

Abstract

Go to

By establishing a new summation formula for the series ${}_3F_2(\frac{1}{2})$, recently Rathie and Pogany have obtained an interesting result known as Kummer type II transformation for the generalized hypergeometric function ${}_2F_2$. Here we aim at deriving their result by using a very elementary method and presenting two elegant results for certain terminating series ${}_3F_2(2)$. Furthermore two interesting applications of our new results are demonstrated.

Keywords: generalized hypergeometric series, Gauss's summation theorem, Gauss's second theorem, Kummer's first and second theorems, quadratic transformation, Kummer type I and II transformations, Kamp\'e de F\'eriet function

MSC numbers: Primary 33C05; Secondary 33C20

Article Tools

Stats or Metrics

Share this article on :

Related articles in BKMS

more +