Geodesic
Evaluation of associated Legendre functions off the cut and parabolic cylinder functions
Electronic transactions on numerical analysis, Tome 9 (1999), pp. 137-146.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: We review a set of algorithms to evaluate associated Legendre functions off the cut; in particular, we consider prolate spheroidal, oblate spheroidal and toroidal harmonics. A similar scheme can be applied to other families of special functions like Bessel and parabolic cylinder functions; we will describe the corresponding algorithm for the evaluation of parabolic cylinder functions.
Classification : 65D20, 33-04, 33C05, 33A70
Keywords: computation of special functions, Legendre functions, parabolic cylinder functions 
@article{ETNA_1999__9__a1,
     author = {Segura, Javier and Gil, Amparo},
     title = {Evaluation of associated {Legendre} functions off the cut and parabolic cylinder functions},
     journal = {Electronic transactions on numerical analysis},
     pages = {137--146},
     publisher = {mathdoc},
     volume = {9},
     year = {1999},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_1999__9__a1/}
}
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Segura, Javier; Gil, Amparo. Evaluation of associated Legendre functions off the cut and parabolic cylinder functions. Electronic transactions on numerical analysis, Tome 9 (1999), pp. 137-146. http://geodesic.mathdoc.fr/item/ETNA_1999__9__a1/