Transmittance of a circular aperture by an integrable fractional-like approximation to \(J_ 0(x)\) function
type: Item
instance of: scholarly article
title: Transmittance of a circular aperture by an integrable fractional-like approximation to \(J_ 0(x)\) function
zbMATH Open document ID: 0631.65014
DOI: 10.1016/0021-9991(87)90150-1
author: C. L. Ladera
author: Pablo Martín
published in: Journal of Computational Physics
publication date: 1987-01-01T00:00:00Z
review text: A new and simple fractional approximation to \(J_ 0(x)\) which has a single singularity is obtained and used to evaluate an integral (transmittance of a circular aperture) with good accuracy.
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 41A20
zbMATH DE Number: 4026650
zbMATH Keywords: Bessel function
zbMATH Keywords: fractional approximation
zbMATH Keywords: circular aperture
Wikidata QID: Q66691646
reviewed by: S. K. Rangarajan
MaRDI profile type: Publication
full work available at URL: 0021-9991(87)90150-1
OpenAlex ID: W1992687467
cites work: Fractional approximations to the Bessel function J0(x)
cites work: Two-point Padé expansions for a family of analytic functions
cites work: On the convergence of Padé-type approximants to analytic functions
cites work: Q4157119
cites work: Q5722964
cites work: Rational Chebyshev approximations for the Bessel functions 𝐽₀(𝑥), 𝐽₁(𝑥), 𝑌₀(𝑥), 𝑌₁(𝑥)
cites work: Q4275389
description: scientific article; zbMATH DE number 4026650