A Study of Integral Transforms Unified With Whittaker and Generalized Hypergeometric Functions
Year: 2025
Type: article
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.
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W7131356231