DocumentCode :
914482
Title :
Generation of Bessel functions of complex order and argument
Author :
Lewis, J.E. ; Sarkar, Tapan K. ; O´Kelly, P.D.
Author_Institution :
University of New Brunswick, Department of Electrical Engineering, Fredericton, Canada
Volume :
7
Issue :
20
fYear :
1971
Firstpage :
615
Lastpage :
616
Abstract :
Recurrence techniques are described for the generation of Bessel functions of the first and second kinds where both the argument and order may be complex. The method is shown to be accurate for several well known forms of functions, including Kelvin and spherical Bessel functions. The accuracy of the general case of complex order and argument is determined by computing the Wronskians and by verifying some addition theorems of the Bessel functions over wide ranges of order and argument. Procedures for the accurate generation of complex-argument gamma functions are also described.
Keywords :
function generators; Bessel functions; Newmann function; Stirling´s asymptotic series; complex order and argument; gamma functions;
fLanguage :
English
Journal_Title :
Electronics Letters
Publisher :
iet
ISSN :
0013-5194
Type :
jour
DOI :
10.1049/el:19710415
Filename :
4235317
Link To Document :
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