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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 P n-1 2 m (x),Q n-1 2 m (x) for fixed values of m, while the other two algorithms allow obtaining of the set P n-1 2 m (x),Q n-1 2 m (x).
MSC:
65D20Computation of special functions, construction of tables
33C45Orthogonal polynomials and functions of hypergeometric type