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

Computer Physics Communications(2018)

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摘要
This is a revised and updated version of a modern Fortran 90 code to compute the regular Plm(x) and irregular Qlm(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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关键词
Associated Legendre functions,Recursion relations,Miller’s algorithm,Continued fractions
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