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Generalized Operational Relations and Properties of Fractional Hankel Transform

R. D. Taywade, A. S. Gudadhe and V. N. Mahalle

Namias had defined fractionalization of conventional Hankel transform, using the method of eigen values and studied and open the door for the research in fractional integral transform. This paper studies the fractionalization of generalized Hankel transform, as given by Zemanian. We referred it as fractional Hankel transform. First we introduce fractional Hankel transform in the generalized sense. Generalized operational relations are derived that can be used to solve certain classes of ordinary and partial differential equations. Lastly the values of fractional Hankel transform are obtained for some special functions.