Rational expressions for the zeros of several special functions

DOI10.1016/S0377-0427(01)00578-7zbMath1006.33002OpenAlexW2056100839MaRDI QIDQ1612400

Allan J. MacLeod

Publication date: 22 August 2002

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(01)00578-7

zbMATH Keywords

Bessel functionsAiry functionsKelvin functionszeros of special functionsrational approximate

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical approximation and evaluation of special functions (33F05)

Uses Software

• ELF
• GNOME

Cites Work

• Unnamed Item
• ELF and GNOME: two tiny codes to evaluate the real zeros of the Bessel functions of the first kind for real orders
• Rational approximation formulas for computing the positive zeros of \(J_ 0(x)\)
• Uniform rational approximation of functions of several variables

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