Duality Theorem For Infinite Hankel Transform

摘要

This paper presents a new property called the Duality Theorem for the Infinite Hankel Transform. Infinite Hankel Transform or simply Hankel Transform is nnufan integral transform related to the renowned Fourier Transform that finds applications in electromagnetics, heat power and a host of other applications. A formal derivation of the Duality Theorem corresponding to the Infinite Hankel Transform is given which was hitherto not mentioned or derived in the literature. The usage of Duality Theorem helps in finding the time-domain function from the Hankel Transform domain and vice versa thereby reducing considerable labour and computation time, if a known Hankel Transform pair is available and the same has been exemplified with suitable illustrative examples.