INVERSION OF AN INTEGRAL INVOLVING A PRODUCT OF GENERALIZED HYPERGEOMETRIC FUNCTION AND ALEPH-FUNCTION AS KERNEL
By
Divya Dwivedi1 and Rajeev Shrivastava2
1Department of Mathematics, A.P.S. University, Rewa, Madhya Pradesh, India-486001 2Department of Mathematics, Government Indira Gandhi Home Science College, Shahdol, Madhya Pradesh, India-484001
Email: dwivedidivya72@gmail.com, rajeevshri18@gmail.com
(Received: May 22, 2025; In format : September 27, 2025; Revised: April 04, 2026; Accepted: April 10, 2026)
DOI: https://doi.org/10.58250/jnanabha.2026.56107
Abstract
The solution for a convolution integral equation of Fredholm type, whose kernel involves a product of generalized hypergeometric function and κ-Function has been determined by Pathan,Kumar and Chandel (2016), Chandel-Kumar (2020). In the present paper, our aim is to derive an exact solution of the convolution integral equation of Fredholm type due to Chaurasia-Saxena (2008) and Goyal-Salim (1998). A number of results due to Chandel-Kumar (2023) and Srivastave (1985) follow as special cases by specializing and the parameters of the generalized hypergeometric function and the Aleph-Function (ℵ-function).
2020 Mathematical Sciences Classification: 45E10, 33C70, 33C20.
Keywords and Phrases: Convolution integral equation, generalized hypergeometric Function, Aleph-Function (ℵ-function).