Journal of Applied Mathematics
Volume 2003 (2003), Issue 6, Pages 319-325
doi: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 E. B. Postnikov. 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.