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Home Volume 13, Issue 2 Article
Research Article

FRACTIONAL $q-$ DERIVATIVE AND $q-$ SERIES TRANSFORMATIONS

V
Vijay Yadav Department of Mathematics, SPDT College, Andheri(E), Mumbai - 400059, INDIA
S
Satya Prakash Singh Department of Mathematics, TDPG College, Jaunpur - 222002 (UP), INDIA
Volume 13, Issue 2 Pages 113-120 June 30, 2026 15 downloads
Article overview

Abstract

In this paper, making use of fractional $q-$ derivative for the product of two functions, transformation formulas involving $q-$ hypergeometric series have been established.

Keywords and Phrases

Fractional $q-$derivative$q$-hypergeometric seriessummation formulatransformation formula.

AMS Subject Classification

Primary 33D15; Secondary 11B05, 05A19.

Reference information

How to Cite

Vijay Yadav, Satya Prakash Singh (2026). FRACTIONAL $q-$ DERIVATIVE AND $q-$ SERIES TRANSFORMATIONS. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 13(2), 113-120.
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