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PlmIndex()

Compute the index of a array of Legendre functions corresponding to degree l and angular order m.

Usage

index = PlmIndex (l, m)

Returns

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

Parameters

l : integer, array_like : The spherical harmonic degree.

m : integer, array_like : The angular order.

Notes

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 in Python is equal to l * (l + 1) / 2 + m.