Evaluation of associated Legendre functions off the cut and parabolic cylinder functions (Q1572620)
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scientific article; zbMATH DE number 1476918
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Evaluation of associated Legendre functions off the cut and parabolic cylinder functions |
scientific article; zbMATH DE number 1476918 |
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Evaluation of associated Legendre functions off the cut and parabolic cylinder functions (English)
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24 July 2000
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The authors review a set of algorithms for evaluating the associated Legendre functions off the cut. In particular, they consider prolate spheroidal, oblate spheroidal and toroidal harmonics. Another family of functions that be computed in a similar wy are the parabolic cylinder functions. Aspects of forward and backward recursion schemes for computing solutions of three-term recursion relations are discussed. Numerical test of existing algorithms are also given.
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computation of special functions
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Legendre functions
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parabolic cylinder functions
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prolate spheroidal harmonics
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oblate spheroidal harmonics
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algorithms
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toroidal harmonics
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forward and backward recursion schemes
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three-term recursion relations
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numerical examples
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