A new Fortran 90 program to compute regular and irregular associated Legendre functions (new version announcement)

Abstract

This is a revised and updated version of a modern Fortran 90 code to compute the regular Pm l (x) and irregular Qm l (x) associated Legendre functions for all x ∈ (−1,+1) (on the cut) and |x| > 1 and integer degree (l) and order (m). The necessity to revise the code comes as a consequence of some comments of Prof. James Bremer of the UC//Davis Mathematics Department, who discovered that there were errors in the code for large integer degree and order for the normalized regular Legendre functions on the cut.