Rational approximations for zeros of Bessel functions

DOI10.1016/0021-9991(81)90253-9zbMath0464.65001OpenAlexW2058710649MaRDI QIDQ1154211

M. De Meue, Maria Branders, Robert Piessens

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1016/0021-9991(81)90253-9

zbMATH Keywords

zeros of Bessel functionsrational minimax approximations

Mathematics Subject Classification ID

Numerical computation of solutions to single equations (65H05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Tables in numerical analysis (65A05)

Related Items (4)

On the computation of special functions with applications to nonlinear and inhomogeneous waves ⋮ Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros ⋮ Chebyshev series approximations for the zeros of the Bessel functions ⋮ An algorithm for the computation of zeros of a special class of entire functions

Cites Work

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• An algorithm with ALGOL 60 program for the computation of the zeros of ordinary Bessel functions and those of their derivatives
• Tables for the Rapid and Accurate Numerical Evaluation of Certain Infinite Integrals Involving Bessel Functions
• Uniform rational approximation of functions of several variables

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