Fast and accurate computation of Bessel functions with (large) complex order and argument

DOI10.1016/j.amc.2008.10.057zbMath1158.65018OpenAlexW1993288111MaRDI QIDQ1002303

R. W. Smink, B. P. de Hon, Anton G. Tijhuis

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.10.057

zbMATH Keywords

numerical examplesintegral representationssteepest descent pathlarge complex order and argumentproduct of Bessel functions

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20)

Related Items (2)

Automatic particular solutions of arbitrary high-order splines associated with polyharmonic and poly-Helmholtz equations ⋮ Numerical calculation of Bessel, Hankel and Airy functions

Uses Software

• Mathematica

Cites Work

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• Coulomb and Bessel functions of complex arguments and order
• Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
• Computing special functions by using quadrature rules
• Evaluation of the modified Bessel function of the third kind of imaginary orders
• On an integral related to biaxially anisotropic media
• Anti-plane wave motion in a cylindrically orthotropic elastic solid containing a stress-free crack
• Computation of Hankel (Bessel) functions of complex index and argument by numerical integration of a schlafli contour integral
• Numerical Methods for Special Functions
• Slot Coupling of Rectangular and Spherical Wave Guides
• An overview of the computational aspects of Kronrod quadrature rules

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