Chebyshev Expansions for the Bessel Function J n (z) in the Complex Plane

DOI10.2307/2007380zbMath0504.65010OpenAlexW4251716913MaRDI QIDQ4741642

A. J. Monaghan, John P. Coleman

Publication date: 1983

Published in: Mathematics of Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2007380

zbMATH Keywords

Bessel functionspolynomial approximationsfirst quadranterror behaviour

Mathematics Subject Classification ID

Approximation in the complex plane (30E10) Computation of special functions and constants, construction of tables (65D20) General theory of numerical methods in complex analysis (potential theory, etc.) (65E05) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Tables in numerical analysis (65A05)

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Polynomial approximations in the complex plane, Tau-method approximations for the Bessel function \(Y_ 0 (z)\), A note on the tau-method approximations for the Bessel functions \(Y_ 0(z)\) and \(Y_ 1(z)\), Chebyshev series approximations for the Bessel function \(Y_n(z)\) of complex argument, Symbolic and numerical computation on Bessel functions of complex argument and large magnitude