Re: Bessel functions of large orders - J10000(9990)



In article <44a3848d$0$9912$88260bb3@xxxxxxxxxxxxxxxxx>,
D. Baruth <SeeBelow@xxxxxxxxxxxxxxxx> wrote:

Applying Debye's asymptotic expansions for Bessel functions of large orders
[Abramowitz & Stegun, pp366, 9.3.7; Gradshteyn & Ryzhik, p963, 8.452], I
found that using only the first three terms of the expansion yields much better
results than using four or five terms.

Seems to be right in this case (using Maple). I guess that's why they
call it an asymptotic expansion.

Robert Israel israel@xxxxxxxxxxx
Department of Mathematics http://www.math.ubc.ca/~israel
University of British Columbia Vancouver, BC, Canada

.



Relevant Pages

  • Bessel functions of large orders - J10000(9990)
    ... Applying Debye's asymptotic expansions for Bessel functions of large orders ... found that using only the first three terms of the expansion yields much better ... using a 1.47 GHz CPU. ...
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  • Re: Bessel functions of large orders - J10000(9990)
    ... :>Applying Debye's asymptotic expansions for Bessel functions of large orders ... Dan Baruth ... Posted via a free Usenet account from http://www.teranews.com ...
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