Evaluation of legendre functions of argument greater than one Original Research Article

In this paper we present an algorithm to evaluate Legendre functions of the first and second kinds (Pv, Qv) for integraland half-integral order and argument greater than one. The code is based on the calculation of the continued fraction for the Qʹs. the Wronskian relating Pʹs and Qʹs and the application of forward recurrence relations for the Pʹs and backward recurrence for the Qʹs. We also show an application of these algorithms to the evaluation of the electrostatic field due to a charged toroidal conductor at potential V.