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PlmIndex (Fortran)
spherical harmonics software package, spherical harmonic transform, legendre functions, multitaper spectral analysis, fortran, Python, gravity, magnetic field
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plmindex.html
fortran
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Compute the index of an array corresponding to degree l and angular order m.

Usage

index = PlmIndex (l, m)

Parameters

index : function output, integer : Index of an array of associated Legendre functions corresponding to degree l and angular order m.

l : input, integer : The spherical harmonic degree.

m : input, integer : The angular order.

Description

PlmIndex will calculate the index of an array of associated Legendre functions corresponding to degree l and angular order m. The input arrays are generated by routines such as PlmBar, PlmBar_d1, PlmSchmidt, PlmSchmidt_d1, PlmON, PlmON_d1, PLegendreA, and PLegendreA_d1. The array index is equal to l*(l+1)/2+m+1.

See also

plmbar, plmbar_d1, plmschmidt, plmschmidt_d1, plmon, plmon_d1, plegendrea, plegendrea_d1