DTORH3 2.0: A new version of a computer program for the evaluation of toroidal harmonics

2019-12-06T07:44:33Z (GMT) by Amparo Gil Javier Segura
Abstract An improved version of the program DTORH3 to evaluate toroidal harmonics is presented. The code incorporates a uniform asymptotic expansion for P_ν ^m (x) for large m which extends the range of applicability for large x of the previous version. In addition, the new version of the program takes advantage of the dual behaviour of the functions P and Q incorporating a "dual" algorithm for 1