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Zbl 0949.65016
Segura, J.; Gil, A.
Evaluation of toroidal harmonics. (English)
[J] Comput. Phys. Commun. 124, No.1, 104-122 (2000). ISSN 0010-4655

The authors present three algorithms to evaluate Legendre functions of integral order and half-odd degree of the first and second kind for real arguments larger than one. The first algorithm evaluates the set $\left\{P^m_{n-{1\over 2}}(x), Q^m_{n-{1\over 2}}(x)\right\}$ for fixed values of $m$, while the other two algorithms allow obtaining of the set $\left\{P^m_{n-{1\over 2}}(x), Q^m_{n-{1\over 2}}(x)\right\}$.
[Emil Minchev (Sofia)]

MSC 2000:: *65D20 Computation of special functions
33C45 Orthogonal polynomials and functions of hypergeometric type

Keywords: toroidal harmonics; Laplace equation; toroidal coordinates; algorithms; Legendre functions

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