Algorithms and Codes for the Macdonald Function: Recent Progress and Comparisons
B R. Fabijonas, Daniel W. Lozier, J M. Rappoport
The modified Bessel function KiŅχ, 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.
, Lozier, D.
and Rappoport, J.
Algorithms and Codes for the Macdonald Function: Recent Progress and Comparisons, NIST Interagency/Internal Report (NISTIR), National Institute of Standards and Technology, Gaithersburg, MD
(Accessed December 5, 2023)