Inversion of the Poisson-Hankel transform

Abstract

The Poisson-Hankel transform is defined as an integral transform of the initial temperature function, with the kernel as the source solution of the generalized heat equation. In this paper a technique involving integral and differential operators has been used to effect the inversion of the Poisson-Hankel transform.

Keywords

• heat equation
• Poisson-Hankel transform
• gamma function
• Bessel functions
• Whittaker function.