TRANSFORMATION FORMULAS FOR LAURICELLA'S FOURTH FUNCTION $\Phi_D$

Print ISSN: 2319-1023 | Online ISSN: 2582-5461 | Total Downloads :

Volume : 13 , Issue : 1
DOI: https://doi.org/10.56827/JRSMMS.2025.1301.11
Author :
Sunil Singh (Department of Mathematics, Dr. Homi Bhabha State University, The Institute of Science, Mumbai - 32, INDIA)
Vijay Yadav (Department of Mathematics, SPDT College, Andheri (East), Mumbai - 59, INDIA )
G. S. Pant (Department of Mathematics, Siddhanath Science Campus, Mahendranagar, Kanchanpur, NEPAL)

Abstract

In the paper a very general transformation formula for Lauricella fourth function $\Phi_D$ of $n$ variables has been established.

Keywords and Phrases

Basic hypergeometric series, Lauricella function, transformation formula, $q$-Binomial theorem.

A.M.S. subject classification

54A40, 54D05, 03E72, 06D72.

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