E. B. Postnikov, "About calculation of the Hankel transform using preliminary wavelet transform", Journal of Applied Mathematics, vol. 2003, Article ID 734095, 7 pages, 2003. https://doi.org/10.1155/S1110757X03208020
About calculation of the Hankel transform using preliminary wavelet transform
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.
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.