Tau-method approximations for the Bessel function \(Y_ 1 (z)\)

DOI10.1016/0898-1221(95)00121-EzbMath0834.65005OpenAlexW2988925967MaRDI QIDQ1900540

Jun Zhang

Publication date: 31 March 1996

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(95)00121-e

zbMATH Keywords

polynomial approximationerror boundsBessel functionBessel differential equationFaber polynomialtableLanczos tau-method

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Tables in numerical analysis (65A05)

Related Items

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

Cites Work

• Unnamed Item
• Polynomial approximations in the complex plane
• Tau-method approximations for the Bessel function \(Y_ 0 (z)\)
• The Faber Polynomials for Circular Sectors
• The Lanczos Tau-method
• Faber Polynomials and the Faber Series