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

    Author(s)
    Schneider, Barry I
    Segura, Javier
    Gil, Amparo
    Guan, Xiaoxu
    Bartschat, Klaus
    Griffith University Author(s)
    Bartschat, Klaus
    Year published
    2018
    Metadata
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    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.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.
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    Journal Title
    Computer Physics Communications
    Volume
    225
    DOI
    https://doi.org/10.1016/j.cpc.2017.12.013
    Subject
    Information and Computing Sciences
    Mathematical Sciences
    Physical Sciences
    Publication URI
    http://hdl.handle.net/10072/384735
    Collection
    • Journal articles

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