Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4605587 | Applied and Computational Harmonic Analysis | 2007 | 19 Pages |
Abstract
We construct asymptotic formulae for the approximation of certain prolate spheroidal wave functions and of the corresponding eigenvalues. We investigate two regimes: when the ratio c/m decays, and when both c and m grow, but the ratio c/m stays bounded. Both the regions of validity and the accuracies of the obtained expansions are illustrated with numerical examples.
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