The New Integral Transform" Iman Transform" of Bessel's Function with Application for Evaluating Definite Integrals

Abstract

In the advance time, Bessel’s function play role in solving many problems of engineering and scientific challenges. Including equations like the wave equation, heat equation, Laplace equation, Helmholtz equation, and Schrodinger equation in spherical or cylindrical coordinates. In this paper, author present Iman transform of Bessel’s functions with application for evaluating definite integrals, and exploring its applications and providing examples of problems involving Bessel’s functions for integral calculation, thereby minimizing computational efforts.