Article ID: MTJPAM-D-20-00062

Title: Four Unified Results for Reducibility of Srivastava’s Triple Hypergeometric Series HB


Montes Taurus J. Pure Appl. Math. / ISSN: 2687-4814

Article ID: MTJPAM-D-20-00062; Volume 3 / Issue 3 / Year 2021 (Special Issue), Pages 155-164

Document Type: Research Paper

Author(s): Gradimir V. Milovanović a , Arjun K. Rathie b

aSerbian Academy of Sciences and Arts 11000 Belgrade, Serbia \& University of Niš, Faculty of Sciences and Mathematics, Niš, Serbia

bDepartment of Mathematics, Vedant College of Engineering & Technology (Rajasthan Technical University), Village: Tulsi, Post: Jakhamund, Dist. Bundi, Rajasthan State, India

Received: 31 December 2020, Accepted: 18 January 2021, Published: 25 April 2021.

Corresponding Author: Gradimir V. Milovanović (Email address: gvm@mi.sanu.ac.rs)

Full Text: PDF

Abstract

The aim of this paper is to provide four unified results of reducibility of the Srivastava’s triple hypergeometric series HB. The results are obtained with the help of two general results involving products of generalized hypergeometric series due to Rathie et al. A few known as well as unknown results follow as special cases of our main findings.

Keywords: Generalized hypergeometric functions, Summation formulas, Product formulas, Appell’s functions, Kampé de Fériet function, Triple series

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