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A new Fortran 90 program to compute regular and irregular associated Legendre functions

Abstract: We present a modern Fortran 90 code to compute the regular and irregular associated Legendre functions for all (on the cut) and and integer degree (l) and order (m). The code applies either forward or backward recursion in (l) and (m) in the stable direction, starting with analytically known values for forward recursion and considering both a Wronskian based and a modified Miller's method for backward recursion. While some Fortran 77 codes existed for computing the functions off the cut, no Fortran 90 code was available for accurately computing the functions for all real values of x different from where the irregular functions are not defined.

 Autoría: Schneider B.I., Segura J., Gil A., Guan X., Bartschat K.,

 Fuente: Computer Physics Communications 2010,181(12), 2091-2097

 Editorial: Elsevier

 Fecha de publicación: 01/12/2010

 Nº de páginas: 7

 Tipo de publicación: Artículo de Revista

 DOI: 10.1016/j.cpc.2010.08.038

 ISSN: 0010-4655

 Proyecto español: MTM2009-11686

 Url de la publicación: https://doi.org/10.1016/j.cpc.2010.08.038

Autoría

SCHNEIDER, BARRY I.

GUAN, XIAOXU

BARTSCHAT, KLAUS