Differentiation Property of Fractional Hankel Transform of a Function Involving Higher Order Derivatives
Keywords:
Hankel Transform, Fractional Hankel Transform, Higher order Derivatives, Besssel’s FunctionAbstract
In engineering mathematics, integral transform is a widely used tool for solving linear differential equations, In recent times the newly born fractional Hankel transform has been started for playing a very important role in various fields of applied mathematics and physics like fractional Fourier transform. This paper represent a formalization of differentiation property of a function invoving high order derivatives of newly introduced fractional Hankel transform. The differentiation property is proved for different higher differential equations.
References
V. Namias, “The fractional order Fourier transform and its application to quantum mechanics”, IMA Journal of Applied Mathematics, 25(3) 241-265(1980)
A.C. McBride and F.H. Kerr. On Namias's fractional Fourier transforms. IMA J. Appl. Math., 39:159- 175, 1987
L.B. Almeida. The fractional Fourier transform and time-frequency representation.IEEE Trans. Sig. Proc., 42:3084-3091, 1994
. Namias, V: Fractionalization of Hankel transform. J. Inst. Math. Appl. 26, 187-197 (1980)
. Fiona H. Kerr, A Fractional Power Theory for Hankel Transform, in J. Mathematical Analysis and Application, 158, 114-123 (1991).
. Prasad, A, Mahato, KL: The fractional Hankel wavelet transformation. Asian-Eur. J. Math. 8(2), (2015)
. Sheppard, CJR, Larkin, KG: Similarity theorems for fractional Fourier transforms and fractional Hankel transforms. Opt.Commun. 154, 173-178 (1998)
Taywade, RD, Gudadhe, AS, Mahalle, VN: Generalized operational relations and properties of fractional Hankel transform. Sci. Rev. Chem. Commun. 2(3), 282-288 (2012)
. Taywade, RD, Gudadhe, AS, Mahalle, VN: Initial and final value theorem on fractional Hankel transform. IOSR J. Math. 5, 36-39 (2013)
Downloads
Published
How to Cite
Issue
Section
License
Authors who submit papers with this journal agree to the following terms.