%0 DATA
%A Amparo, Gil
%A Javier, Segura
%D 2019
%T DTORH3 2.0: A new version of a computer program for the evaluation of toroidal harmonics
%U https://mendeley.figshare.com/articles/dataset/DTORH3_2_0_A_new_version_of_a_computer_program_for_the_evaluation_of_toroidal_harmonics/11335406
%R 10.17632/kj9sv7476g.1
%2 https://mendeley.figshare.com/ndownloader/files/20096387
%K Computational Physics
%K Computational Method
%X 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