Certain summation formulas due to Ramanujan and their generalizations

Arjun K. Rathie; Shaloo Malani; Rachana Mathur; Junesang Choi

Bulletin of the
Korean Mathematical Society BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

QR
Code

Article

HOME

ALL ARTICLES

View

Bull. Korean Math. Soc. 2005; 42(3): 469-475

Printed September 1, 2005

Certain summation formulas due to Ramanujan and their generalizations

Arjun K. Rathie, Shaloo Malani, Rachana Mathur, and Junesang Choi

Dungar College, Dungar College, Dungar College, Dongguk University

Abstract

Go to

Abstract

The authors aim at deriving four generalized summation formulas, which, upon specializing their parameters, give many summation identities including, especially, the four very interesting summation formulas due to Ramanujan. The results are derived with the help of generalized Dixon's theorem obtained earlier by Lavoie, Grondin, Rathie, and Arora.

Keywords: generalized hypergeometric series, Dixon's summation theorem

MSC numbers: Primary 33C65; Secondary 33C60,\break 33C70, 33C05