A new \texttt{Fortran 90} program to compute regular and irregular associated Legendre functions

DOI10.1016/J.CPC.2010.08.038zbMath1219.65028OpenAlexW2080968622MaRDI QIDQ546783

Xiaoxu Guan, Barry I. Schneider, Klaus Bartschat, Amparo Gil, Javier Segura

Publication date: 30 June 2011

Published in: Computer Physics Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cpc.2010.08.038

zbMATH Keywords

numerical examplescontinued fractionsrecursion relationsassociated Legendre functionsMiller's algorithm

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Computation of special functions and constants, construction of tables (65D20) Numerical approximation and evaluation of special functions (33F05)

Related Items (3)

DMTDHF: a full dimensional time-dependent Hartree-Fock program for diatomic molecules in strong laser fields ⋮ Recursive computation of logarithmic derivatives, ratios, and products of spheroidal harmonics and modified Bessel functions and applications ⋮ Generalizations and specializations of generating functions for Jacobi, Gegenbauer, Chebyshev and Legendre polynomials with definite integrals

Uses Software

• Associated Legendre Functions

Cites Work

• Unnamed Item
• Coulomb and Bessel functions of complex arguments and order
• Associated Legendre functions on the cut
• A code to evaluate prolate and oblate spheroidal harmonics
• Computing the Conical Function $P^{\mu}_{-1/2+i\tau}(x)$
• Numerical Methods for Special Functions

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