Chebyshev series approximations for the zeros of the Bessel functions

DOI10.1016/0021-9991(84)90060-3zbMath0525.65023OpenAlexW2040185255MaRDI QIDQ585651

Robert Piessens

Publication date: 1984

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

Full work available at URL: https://doi.org/10.1016/0021-9991(84)90060-3

zbMATH Keywords

approximation by polynomialsChebyshev series approximationszeros of the Bessel functions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical computation of solutions to single equations (65H05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (4)

Bounds on differences of adjacent zeros of Bessel functions and iterative relations between consecutive zeros ⋮ ELF and GNOME: two tiny codes to evaluate the real zeros of the Bessel functions of the first kind for real orders ⋮ Approximation for the turning points of Bessel functions ⋮ An algorithm for the computation of zeros of a special class of entire functions

Uses Software

• Clenshaw-Curtis

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
• Rational approximations for zeros of Bessel functions
• Some remarks on uniform asymptotic expansions for Bessel functions
• A Series Expansion for the First Positive Zero of the Bessel Functions
• An Upper Bound for the First Zero of Bessel Functions
• Implementing Clenshaw-Curtis quadrature, I methodology and experience
• Technical Notes and Short Papers

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