A Study on Generalized Lauricella Functions Using Fractional Calculus and Hypergeometric Transformations
Year: 2025
Type: article
Abstract: New generalized Lauricella functions and many integral theorems on the generalized Lauricella function are given and defined here utilizing the Riemann-Liouville fractional integral and differential operators. This section focuses on the expanded second Appell hypergeometric generating function introduced by Parmar et al. in their article obtained numerous well-known conclusions as special cases of several previously reported features on hypergeometric functions, including integration and differentiation, with the introduction of the generalized k-Fractional derivative. Understanding the relationship between the k-Gauss and k-Confluent hypergeometric functions may be accomplished through the use of the Laplace transform. The generalized k- Fractional derivative was used to derive the power function image, Laplace transform, and k-Riemann Liouville fractional integral.
Author: Dr. Geeta Kumari Assistant professor PG Department of Mathematics S B College, V.K.S.U, Ara
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7106030645