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Research Article

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

S
Sunil Singh Department of Mathematics, Dr. Homi Bhabha State University, The Institute of Science, Mumbai - 32, INDIA
V
Vijay Yadav Department of Mathematics, SPDT College, Andheri (East), Mumbai - 59, INDIA
G
G. S. Pant Department of Mathematics, Siddhanath Science Campus, Mahendranagar, Kanchanpur, NEPAL
Volume 13, Issue 1 Pages 167-172 December 30, 2025 61 downloads
Article overview

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 seriesLauricella functiontransformation formula$q$-Binomial theorem.

AMS Subject Classification

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

Reference information

How to Cite

Sunil Singh, Vijay Yadav, G. S. Pant (2025). TRANSFORMATION FORMULAS FOR LAURICELLA'S FOURTH FUNCTION $\Phi_D$. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 13(1), 167-172.
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