.CalcLegendre {wmm} | R Documentation |
Compute Associated Legendre Functions Given Sequence of (degree, order) Indices
Description
Procedure that computes the associated Legendre function, P_{n,m}(\mu)
, given a sequence of (degree, order) indices and function argument \mu
. This is computed via a closed-form equation.
Usage
.CalcLegendre(mu)
Arguments
mu |
Function argument to |
Details
The underlying equation used is:
P(x, n, m)=(-1)^m * 2^n * (1-x^2)^(m/2) * sum(for m <= k <= n: k!/(k-m)! * x^(k-m) * choose(n, k) * choose((n+k-1)/2, n))
[Package wmm version 1.1.1 Index]