About Calculation of the Hankel Transform Using Preliminary Wavelet Transform

Details About Calculation of the Hankel Transform Using Preliminary Wavelet Transform About Calculation of the Hankel Transform Using Preliminary Wavelet Transform

2002-07-05

arxiv.org/abs/math/0207055v4

Journal of Applied Mathematics No. 6 (2003), 319-325

Mathematics

Numerical Analysis

5 pages, 2 figures. Some misprints are corrected

Scientific paper

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.

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