Transmittance of a circular aperture by an integrable fractional-like approximation to \(J_ 0(x)\) function

DOI10.1016/0021-9991(87)90150-1zbMath0631.65014OpenAlexW1992687467WikidataQ66691646 ScholiaQ66691646MaRDI QIDQ1094811

Celso L. Ladera, Pablo Martín

Publication date: 1987

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(87)90150-1

zbMATH Keywords

Bessel functioncircular aperturefractional approximation

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Cites Work

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• Two-point Padé expansions for a family of analytic functions
• On the convergence of Padé-type approximants to analytic functions
• Fractional approximations to the Bessel function J0(x)
• Rational Chebyshev approximations for the Bessel functions 𝐽₀(𝑥), 𝐽₁(𝑥), 𝑌₀(𝑥), 𝑌₁(𝑥)

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