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Research Article

A STUDY OF INTEGRAL TRANSFORMS UNIFIED WITH WHITTAKER AND GENERALIZED HYPERGEOMETRIC FUNCTIONS

N
Nabiullah Khan Department of Applied Mathematics, Aligarh Muslim University, Aligarh, INDIA
M
Mohd Ghayasuddin Department of Mathematics, Integral University, Lucknow, INDIA
O
Owais Khan Department of Mathematics, Integral University, Lucknow, INDIA
N
Nafis Ahmad Department of Mathematics, Shibli National College, Azamgarh, INDIA
Volume 13, Issue 1 Pages 123-134 December 30, 2025 62 downloads
Article overview

Abstract

Integral transforms play a pivotal role in mathematical analysis and have become a central tool in the study of special functions. Motivated by their broad applicability, researchers have continually introduced new forms of these transforms. In this paper, we explore a novel integral transform involving the product of the Whittaker function $W_{k,m}(z)$ and a generalized hypergeometric function. The resulting integral is expressed in terms of the Srivastava triple hypergeometric function. Furthermore, several noteworthy special cases of the proposed integral transform are derived, highlighting its potential for broader applications in mathematical and applied contexts.

Keywords and Phrases

Whittaker functionHypergeometric functionSrivastava Triple hypergeometric function and Laplace Transform.

AMS Subject Classification

35A22, 44A10, 33C15, 33C20, 33C70.

Reference information

How to Cite

Nabiullah Khan, Mohd Ghayasuddin, Owais Khan, Nafis Ahmad (2025). A STUDY OF INTEGRAL TRANSFORMS UNIFIED WITH WHITTAKER AND GENERALIZED HYPERGEOMETRIC FUNCTIONS. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 13(1), 123-134.
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