Chebyshev series approximations for the Bessel function \(Y_n(z)\) of complex argument

DOI10.1016/S0096-3003(96)00335-9zbMath0918.65016OpenAlexW2032597929MaRDI QIDQ1126681

Jun Zhang, John A. Belward

Publication date: 8 October 1998

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(96)00335-9

zbMATH Keywords

numerical experimentsBessel functionsChebychev polynomialcomplex argumenttau-method approximationstruncated Chebychev series

Mathematics Subject Classification ID

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)

Related Items (1)

Optimal control problem for stationary quasi-optic equations

Uses Software

• REALJN

Cites Work

• Some new characterizations of the Chebyshev polynomials
• Tau-method approximations for the Bessel function \(Y_ 0 (z)\)
• Tau-method approximations for the Bessel function \(Y_ 1 (z)\)
• A note on the tau-method approximations for the Bessel functions \(Y_ 0(z)\) and \(Y_ 1(z)\)
• Symbolic and numerical computation on Bessel functions of complex argument and large magnitude
• Chebyshev Expansions for the Bessel Function J n (z) in the Complex Plane
• Trigonometric Interpolation of Empirical and Analytical Functions
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