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Journal of Applied Mathematics
Volume 2003, Issue 6, Pages 319-325
http://dx.doi.org/10.1155/S1110757X03208020

About calculation of the Hankel transform using preliminary wavelet transform

Theoretical Physics Department, Kursk State Pedagogical University, Radischeva st. 33, Kursk 305000, Russia

Received 15 August 2002; Revised 14 October 2002

Copyright © 2003 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.

Abstract

The purpose of this paper is to present an algorithm for evaluating Hankel transform of the null and the first kind. The result is the exact analytical representation as the series of the Bessel and Struve functions multiplied by the wavelet coefficients of the input function. Numerical evaluation of the test function with known analytical Hankel transform illustrates the proposed algorithm.