On Thu, 29 Oct 2009, David Billinghurst wrote:
< Barton Willis wrote:
< > The (misspelled) functions spherodialwave_a and spherodialwave_b are
< > supposed to be solutions to A&S 20.1.8. The DEs 20.1.8 and 21.6.4 are
< > related through a point transformation, I think.
< >
< > What is the best source for the spheroidal wave functions?
< >
< I don't know much about these functions, but
< http://mathworld.wolfram.com/SpheroidalWaveFunction.html gives around a
< dozen references. The review paper by Falloon et al
< (http://arxiv.org/abs/math-ph/0212051/) is a recent review.
Unfortunately, the review article muddies the terminological waters.
It says that spheroidal functions satisfy the des for the oblate/prolate spheroidal
wave functions (compare eqn. 1 op. cit. to A&S 21.6.1-4)
Leo
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