Fredholm type integral equations with Aleph-function and general polynomials

Abstract

This paper is devoted to the useful method of solving the one-dimensional integral equation of Fredholm type. The Mellin transform technique for solving a general fredholm type integral equation with the Յ-function and a generalized polynomial in the kernel is considered. By specializing the coefficients and various parameters in the generalized polynomials and Յ-function, our main theorem would readily yield several results involving simpler kernels.

A Trivial Extension of Saxena’s I-Function

“…There are follow up investigations concerning the Aleph function in later years [9][10][11][12] which are redundant as this function is a special case of I-function. In fact, there are still many open problems in I-function, particularly related to its analysis.…”