U.S. flag

An official website of the United States government

Official websites use .gov
A .gov website belongs to an official government organization in the United States.

Secure .gov websites use HTTPS
A lock ( ) or https:// means you’ve safely connected to the .gov website. Share sensitive information only on official, secure websites.

PUBLICATIONS

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

Published

Author(s)

B R. Fabijonas, Daniel W. Lozier, J M. Rappoport

Abstract

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.
Citation
NIST Interagency/Internal Report (NISTIR) - 6596
Report Number
6596
Volume
161
NIST Pub Series
NIST Interagency/Internal Report (NISTIR)
Pub Type
NIST Pubs

Keywords

Bessel functions, computation of special functions, Macdonald function
Numerical methods and software and Mathematics and statistics

Citation

Fabijonas, B. , Lozier, D. and Rappoport, J. (2003), 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 January 15, 2025)

Issues

If you have any questions about this publication or are having problems accessing it, please contact reflib@nist.gov.

Created January 31, 2003, Updated October 12, 2021