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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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DOI: https://doi.org/10.1090/S0025-5718-1970-0273786-6
Keywords: Legendre functions, toroidal harmonics, quadratic transformations
Article copyright: © Copyright 1970 American Mathematical Society