Prolate spheroidal function...
- To: mathgroup at smc.vnet.net
- Subject: [mg9524] Prolate spheroidal function...
- From: Sören Molander <molander at kiruna.se>
- Date: Sat, 8 Nov 1997 23:04:49 -0500
- Organization: University of Lulea, Sweden
- Sender: owner-wri-mathgroup at wolfram.com
Dear news group,
Is there anyone out there who knows an efficient implementation of the
eigenfunctions of the Helmholtz equation in oblate/prolate coordinates
(it's simple for the Laplace equation). It seems as if there as if
there is a way to express them as an infinte series involving
generalized Legendre polynomials, but this seems to be rather
inefficient for numerical purposes.
Is there a way of expressing them easily using (e.g.) hypergeometric
functions in Mathematica. I should say that I don't have a copy of
Abramovitz and Stegun, maybe it's time I get one...
Thanks for your attention,
S=F6ren Molander
--
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