About calculation of the Hankel transform using preliminary wavelet transform
type: Item
instance of: scholarly article
title: About calculation of the Hankel transform using preliminary wavelet transform
zbMATH Open document ID: 1029.65141
DOI: 10.1155/S1110757X03208020
author: Eugene Postnikov
published in: Journal of Applied Mathematics
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://arxiv.org/abs/math/0207055
full work available at URL: https://eudml.org/doc/50531
review text: An algorithm for evaluating the Hankel transform of the null and the first kind is presented. 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.
reviewed by: Som Prakash Goyal
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 44A20
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 65T60
Mathematics Subject Classification ID: 65T50
zbMATH DE Number: 1930005
zbMATH Keywords: wavelet transform
zbMATH Keywords: Bessel function
zbMATH Keywords: algorithm
zbMATH Keywords: Hankel transform
zbMATH Keywords: Struve functions
MaRDI profile type: Publication
arXiv ID: math/0207055
OpenAlex ID: W2088531239
description: scientific article