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International Journal of Mathematics and Mathematical Sciences
Volume 5 (1982), Issue 3, Pages 485-496

Inversion of the Poisson-Hankel transform

Department of Mathematics, The University of Calgary, Calgary T2N IN4, Alberta, Canada

Received 15 July 1980; Revised 3 November 1981

Copyright © 1982 Hindawi Publishing Corporation. 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.


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.