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Evaluation of toroidal harmonics. (English) Zbl 0949.65016
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 $\left\{P^m_{n-{1\over 2}}(x), Q^m_{n-{1\over 2}}(x)\right\}$.

65D20Computation of special functions, construction of tables
33C45Orthogonal polynomials and functions of hypergeometric type
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