A numerical evaluation of the Hankel transform of bandlimited functions
type: Item
instance of: scholarly article
title: A numerical evaluation of the Hankel transform of bandlimited functions
zbMATH Open document ID: 0748.65091
DOI: 10.1016/0096-3003(92)90032-V
author: Bui Doan Khanh
published in: Applied Mathematics and Computation
publication date: 1992-06-28T00:00:00Z
review text: The Hankel transform \(\int^ \infty_ 0J_ \nu(p\omega)Q(\omega)\omega d\omega\) of the bandlimited function \(Q(\omega)=\int^{+1}_{- 1}P(t)e^{-i\omega t}dt\) is comptuted by using an expansion of \(P\) in terms of Chebyshev polynomials and an integral representation of the Bessel function \(J_ \nu\) of the first kind. A numerical example is given.
Mathematics Subject Classification ID: 65R10
Mathematics Subject Classification ID: 44A15
Mathematics Subject Classification ID: 44A20
zbMATH DE Number: 36783
zbMATH Keywords: Hankel transform
zbMATH Keywords: bandlimited function
zbMATH Keywords: Chebyshev polynomials
zbMATH Keywords: Bessel function
zbMATH Keywords: numerical example
reviewed by: Frank Natterer
MaRDI profile type: Publication
cites work: The fast Hankel transform as a tool in the solution of the time dependent Schrödinger equation
cites work: Q5186149
cites work: Q3671491
cites work: Q4059363
cites work: Q4113353
cites work: A birth and death model of neuron firing
full work available at URL: 0096-3003(92)90032-v
OpenAlex ID: W2023413951
Wikidata QID: Q126312540
description: scientific article; zbMATH DE number 36783