[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c210178

A NOTE ON GENERALIZATIONS OF BAILEY'S IDENTITY INVOLVING PRODUCTS OF GENERALIZED HYPERGEOMETRIC SERIES

Kilicman, Adem (Department of Mathematics Institute for Mathematical Research University Putra Malaysia (UPM))
Kurumujji, Shantha Kumari (Department of Mathematics A J Institute of Engineering and Technology(Affiliated to Visvesvaraya Technological University - Belagavi))
Rathie, Arjun K. (Department of Mathematics Vedant College of Engineering & Technology (Rajasthan Technical University))

Publication Information

Communications of the Korean Mathematical Society / v.37, no.2, 2022 , pp. 575-583 More about this Journal

Abstract

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 transformation;

Citations & Related Records

Reference

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