Approximation for the turning points of Bessel functions

DOI10.1016/0021-9991(86)90029-XzbMath0616.65016MaRDI QIDQ1821490

Shafique Ahmed, Robert Piessens

Publication date: 1986

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

zbMATH Keywords

asymptotic expansionsturning pointBessel functionChebyshev series approximationsCayley's algorithmzeros of oscillating functions

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) 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) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

Uses Software

• REDUCE
• Clenshaw-Curtis

Cites Work

• Unnamed Item
• Chebyshev series approximations for the zeros of the Bessel functions
• A Series Expansion for the First Positive Zero of the Bessel Functions

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