International Journal of Mathematics and Mathematical Sciences 
Volume 5 (1982), Issue 3, Pages 485-496
doi:10.1155/S0161171282000453

Inversion of the Poisson-Hankel transform

C. Nasim

 Department of Mathematics, The University of Calgary, Calgary T2N IN4, Alberta, Canada
Received 15 July 1980; Revised 3 November 1981

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.