Numerical evaluation of the Hankel transform by using linear Legendre multi-wavelets

DOI10.1016/j.cpc.2008.04.006zbMath1197.65237OpenAlexW2000701537MaRDI QIDQ711124

Rajesh K. Pandey, Vineet Kumar Singh, Om Prakash Singh

Publication date: 25 October 2010

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2008.04.006

zbMATH Keywords

Hankel transformBessel functionslinear Legendre multi-waveletssombrero function

Mathematics Subject Classification ID

Special integral transforms (Legendre, Hilbert, etc.) (44A15) Numerical methods for wavelets (65T60) Numerical methods for discrete and fast Fourier transforms (65T50)

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Cites Work

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• Simultaneous calculation of Fourier-Bessel transforms up to order N
• Numerical evaluation of the zero-order Hankel transform using Filon quadrature philosophy
• Numerical evaluation of the Hankel transform
• About calculation of the Hankel transform using preliminary wavelet transform
• Dual algorithms for fast calculation of the Fourier-Bessel transform
• A theory for multiresolution signal decomposition: the wavelet representation
• Orthonormal bases of compactly supported wavelets
• Ten Lectures on Wavelets
• Multiresolution Approximations and Wavelet Orthonormal Bases of L 2 (R)

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