Two-point quasi-fractional approximations to the Bessel functions \(J_ v(x)\) of fractional order

DOI10.1016/0021-9991(89)90161-7zbMath0688.65014OpenAlexW2085468771WikidataQ66691633 ScholiaQ66691633MaRDI QIDQ1263925

Antonio Luis Guerrero, Pablo Martín

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9991(89)90161-7

zbMATH Keywords

fractional powersasymptotic expansiontrigonometric functionsrational functionsBessel function

Mathematics Subject Classification ID

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

Related Items (2)

Two-point quasifractional approximant in physics. Truncation error ⋮ Two-point quasifractional approximant in physics: Method improvement and application to Jν(x)

Cites Work

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• Higher order two-point quasi-fractional approximations of the Bessel functions \(J_ 0(x)\) and \(J_ 1(x)\)
• Orthogonal rational functions on a semi-infinite interval
• Spectral methods using rational basis functions on an infinite interval
• The special functions and their approximations. Vol. I, II
• Fractional approximations to the Bessel function J0(x)
• Rational Chebyshev approximations for the Bessel functions 𝐽₀(𝑥), 𝐽₁(𝑥), 𝑌₀(𝑥), 𝑌₁(𝑥)
• Fractional approximation to elliptic functions

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