Evaluation of the modified Bessel function of the third kind of imaginary orders

DOI10.1006/jcph.2001.6894zbMath0996.65026OpenAlexW2051168157MaRDI QIDQ1604471

Amparo Gil, Javier Segura, Nico M. Temme

Publication date: 4 July 2002

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

Full work available at URL: https://ir.cwi.nl/pub/1103

zbMATH Keywords

asymptotic expansionsBessel functionscontinued fractionseries expansionsMaclaurin seriesnonoscillatory integral representations

Mathematics Subject Classification ID

Computation of special functions and constants, construction of tables (65D20) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10) Numerical approximation and evaluation of special functions (33F05)

Related Items (8)

Computation of the modified Bessel function of the third kind of imaginary orders: Uniform Airy-type asymptotic expansion ⋮ Computations of Green's Function and Its Fourier Coefficients on Fuchsian Groups ⋮ Algorithms and codes for the Macdonald function: Recent progress and comparisons. ⋮ Zeros of the Macdonald function of complex order ⋮ Summability experiments with a class of divergent inverse Kontorovich-Lebedev transforms ⋮ Bounds and algorithms for the -Bessel function of imaginary order ⋮ Fast and accurate computation of Bessel functions with (large) complex order and argument ⋮ Laplace's method on a computer algebra system with an application to the real valued modified Bessel functions

Cites Work

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