Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
qr-code QR
Code

Article

HOME ALL ARTICLES View

Commun. Korean Math. Soc. 2022; 37(2): 575-583

Online first article April 12, 2022      Printed April 30, 2022

https://doi.org/10.4134/CKMS.c210178

Copyright © The Korean Mathematical Society.

A note on generalizations of Bailey's identity involving products of generalized hypergeometric series

Adem Kilicman, Shantha Kumari Kurumujji, Arjun K. Rathie

University Putra Malaysia (UPM); (Affiliated to Visvesvaraya Technological University - Belagavi); Village: Tulsi, Post: Jakhamund, Dist. Bundi

Abstract

Go to

In the theory of hypergeometric and generalized hypergeometric series, the well-known and very useful identity due to Bailey (which is a generalization of the Preece's identity) plays an important role. The aim of this research paper is to provide generalizations of Bailey's identity involving products of generalized hypergeometric series in the most general form. A few known, as well as new results, have also been obtained as special cases of our main findings.

Keywords: Generalized hypergeometric series, Bailey identity, Kummer transformations

MSC numbers: Primary 33C20, 33C05

Article Tools

Stats or Metrics

Share this article on :

Related articles in CKMS