Evaluation of the modified Bessel function of the third kind of imaginary orders
type: Item
instance of: scholarly article
title: Evaluation of the modified Bessel function of the third kind of imaginary orders
zbMATH Open document ID: 0996.65026
author: Amparo Gil
author: Javier Segura
author: Nico M. Temme
published in: Journal of Computational Physics
publication date: 2002-07-04T00:00:00Z
full work available at URL: https://ir.cwi.nl/pub/1103
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 33C10
Mathematics Subject Classification ID: 33F05
zbMATH DE Number: 1763707
zbMATH Keywords: Bessel functions
zbMATH Keywords: series expansions
zbMATH Keywords: continued fraction
zbMATH Keywords: nonoscillatory integral representations
zbMATH Keywords: asymptotic expansions
zbMATH Keywords: Maclaurin series
MaRDI profile type: Publication
OpenAlex ID: W2051168157
cites work: Q3331506
cites work: Numerical evaluation of oscillatory integrals such as the modified Bessel function \(K_{i\zeta}(x)\)
cites work: Q3818576
cites work: Chebyshev Approximations for the Coulomb Phase Shift
cites work: Uniform Asymptotic Solutions of Second-Order Linear Differential Equations Having a Double Pole with Complex Exponent and a Coalescing Turning Point
cites work: Conical functions with one or both parameters large
cites work: The numerical inversion of two classes of Kontorovich-Lebedev transform by direct quadrature
cites work: Computational Aspects of Three-Term Recurrence Relations
cites work: Calculation of modified Bessel functions in the complex domain
cites work: An Integral Representation for the Modified Bessel Function of the Third Kind, Computable for Large, Imaginary Order
cites work: Q3215519
cites work: Q4059363
cites work: Q5289009
cites work: Canonical vector polynomials for the computation of complex order Bessel functions with the tau method
cites work: Uniform asymptotics for the incomplete gamma functions starting from negative values of the parameters
cites work: Steepest descent paths for integrals defining the modified Bessel functions of imaginary order
cites work: On the numerical evaluation of the modified Bessel function of the third kind
cites work: Rational approximations for the modified Bessel function of the second kind
DOI: 10.1006/JCPH.2001.6894
description: scientific article; zbMATH DE number 1763707