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Publication Citation: Algorithms and Codes for the Macdonald Function: Recent Progress and Comparisons

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Author(s): B R. Fabijonas; Daniel W. Lozier; J M. Rappoport;
Title: Algorithms and Codes for the Macdonald Function: Recent Progress and Comparisons
Published: February 01, 2003
Abstract: The modified Bessel function Kχ, also known as the Macdonald function, finds application in the Kontorovich-Lebedev integral transform when χ and Ņ are real and positive. In this paper, a comparison of three codes for computing this function is made. These codes differ in algorithmic approach, timing, and regions of validity. One of them can be tested independently of the other two through Wronskian checks, and therefore is used as a standard against which the others are compared.
Citation: NIST Interagency/Internal Report (NISTIR) - 6596
Volume: 161
Pages: pp. 179 - 192
Keywords: Bessel functions;computation of special functions;Macdonald function
Research Areas: Software, Math