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Inversion of Fractional Hankel Transform in the Zemmanian Space

Published on October 2012 by R. D. Taywade, A. S. Gudadhe, V. N. Mahalle
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International Conference on Benchmarks in Engineering Science and Technology 2012
Foundation of Computer Science USA
ICBEST - Number 4
October 2012
Authors: R. D. Taywade, A. S. Gudadhe, V. N. Mahalle
aea650c0-e393-4d2c-bcc1-a0514597f5f2

R. D. Taywade, A. S. Gudadhe, V. N. Mahalle . Inversion of Fractional Hankel Transform in the Zemmanian Space. International Conference on Benchmarks in Engineering Science and Technology 2012. ICBEST, 4 (October 2012), 31-34.

@article{
author = { R. D. Taywade, A. S. Gudadhe, V. N. Mahalle },
title = { Inversion of Fractional Hankel Transform in the Zemmanian Space },
journal = { International Conference on Benchmarks in Engineering Science and Technology 2012 },
issue_date = { October 2012 },
volume = { ICBEST },
number = { 4 },
month = { October },
year = { 2012 },
issn = 0975-8887,
pages = { 31-34 },
numpages = 4,
url = { /proceedings/icbest/number4/8714-1020/ },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Proceeding Article
%1 International Conference on Benchmarks in Engineering Science and Technology 2012
%A R. D. Taywade
%A A. S. Gudadhe
%A V. N. Mahalle
%T Inversion of Fractional Hankel Transform in the Zemmanian Space
%J International Conference on Benchmarks in Engineering Science and Technology 2012
%@ 0975-8887
%V ICBEST
%N 4
%P 31-34
%D 2012
%I International Journal of Computer Applications
Abstract

The fractional Hankel transform which is a generalization of the Hankel transform has many applications. In this paper we have derived inversion theorem for the generalized Fractional Hankel transform so that the transform can be used in solving partial differential equations or boundary value problems.

References
  1. Zemanian A. H. Generalized integral transform, Inter Science Publishers, NewYork.
  2. Fange, Zhao daomu and Shaomi Wang, Fractional Hankel transform and the diffraction of misaligned optical systems, J. of Modern optics,Vol. 52,No. 1,61-71.
  3. Ozaktas H. M. , Zalvesky Z. , Kuntay M. Alper (2001),The fractional Fourier transform with applications in optics and signal processing, Pub. John Wiley and Sons. Ltd.
  4. Namias V. , The fractional order Fourier transform and its application to quantum mechanics, J, Inst. Math. Appl. . 25(1980), 241-265.
  5. Namias V. Fractionalisation of Hankel transform, J. Inst. Math. Appl. 26(1980), 187-197.
Index Terms

Computer Science
Information Sciences

Keywords

Fourier Transform Hankel Transform Fractional Hankel Transform