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Using Wavelets Based on B-splines for Calculation of the Hankel Transform

Numerical Analysis 2025-10-20 v1 Numerical Analysis

Abstract

The purpose of this paper is to represent the integral Hankel transform as a series. If one uses B-spline wavelet this series is a linear combination of the hypergeometrical functions. Numerical evaluation of the test function with known analytical Hankel transform of the null kind illustrates the proposed results.

Keywords

Cite

@article{arxiv.math/0403355,
  title  = {Using Wavelets Based on B-splines for Calculation of the Hankel Transform},
  author = {Eugene B. Postnikov},
  journal= {arXiv preprint arXiv:math/0403355},
  year   = {2025}
}