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Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)



A new method for computing toroidal harmonics

Author: Henry E. Fettis
Journal: Math. Comp. 24 (1970), 667-670
MSC: Primary 65.25
MathSciNet review: 0273786
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Abstract: A method for computing Legendre functions of integer order and half-odd degree is presented. The method is based on the theory of quadratic transformation of the argument, and is a generalization of Gauss’ or Landen’s transformation for computing elliptic integrals.

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Keywords: Legendre functions, toroidal harmonics, quadratic transformations
Article copyright: © Copyright 1970 American Mathematical Society