Open Access
20 May 2003 About calculation of the Hankel transform using preliminary wavelet transform
E. B. Postnikov
J. Appl. Math. 2003(6): 319-325 (20 May 2003). DOI: 10.1155/S1110757X03208020

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.

Citation

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E. B. Postnikov. "About calculation of the Hankel transform using preliminary wavelet transform." J. Appl. Math. 2003 (6) 319 - 325, 20 May 2003. https://doi.org/10.1155/S1110757X03208020

Information

Published: 20 May 2003
First available in Project Euclid: 26 May 2003

zbMATH: 1029.65141
MathSciNet: MR2036975
Digital Object Identifier: 10.1155/S1110757X03208020

Subjects:
Primary: 44A15 , 65R10

Rights: Copyright © 2003 Hindawi

Vol.2003 • No. 6 • 20 May 2003
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