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Algorithm 484: Evaluation of the Modified Bessel Functions K₀(z) and K₁(z) for Complex Arguments [S17]

Burrell, Keith H. (1974) Algorithm 484: Evaluation of the Modified Bessel Functions K₀(z) and K₁(z) for Complex Arguments [S17]. Communications of the ACM, 17 (9). pp. 524-526. ISSN 0001-0782. doi:10.1145/361147.361113. https://resolver.caltech.edu/CaltechAUTHORS:20160812-111518071

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Abstract

This procedure evaluates the real and imaginary parts of the modified Bessel functions K₀(z) and K₁(z) for values of the complex argument z = x + iy in the half plane x ≥ 0. (The notation K_n(z) is fairly standard; the exact definition of the function is given in [1]).


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1145/361147.361113DOIArticle
Additional Information:© 1974 ACM. Recd. 30 Mar. 1972. Work supported by the Atomic Energy Commission under contract AT(04-3)767. Language: Fortran.
Funders:
Funding AgencyGrant Number
Atomic Energy CommissionAT(04-3)767
Subject Keywords:Bessel functions, Hankel functions, modified Bessel functions, Gauss-Hermite quadrature
Issue or Number:9
Classification Code:CR Categories: 5.12
DOI:10.1145/361147.361113
Record Number:CaltechAUTHORS:20160812-111518071
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160812-111518071
Official Citation:Keith H. Burrell. 1974. Algorithm 484: Evaluation of the modified Bessel functions K0(Z) and K1(Z)for complex arguments. Commun. ACM 17, 9 (September 1974), 524-526. DOI=http://dx.doi.org/10.1145/361147.361113
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:69591
Collection:CaltechAUTHORS
Deposited By:INVALID USER
Deposited On:12 Aug 2016 23:22
Last Modified:25 May 2023 18:19

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