Fredholm type integral equations with Aleph-function and general polynomials

Copyright © 2013 Rinku Jain and Kirti Arekar. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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 - function and a generalized polynomial in the kernel is considered. By specializing the coefficients and various parameters in the generalized polynomials and -function, our main theorem would readily yield several results involving simpler kernels.