Application of Hankel Transform of I-function of One Variable for Solving Axisymmetric Dirichlet Potential Problem

Abstract

In the present paper we have solved the well known Axisymmetric Dirichlet problem for a half-space using the Hankel transform of I-function of one variable. Hankel transform is much effective tool for solving the boundary value problems involving cylindrical coordinates. Here we have considered the Axisymmetric Dirichlet problem for a half-space which is mathematically characterized by Boundary conditions are Our main result is believed to be general and unified in nature. A number of known and new results can be obtained by specializing the coefficients and parameters involved in the kernel.