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.
.CalcLegendre(mu)Function argument to \(P_{n,m}(\mu)\)
The underlying equation used is: $$P(x, n, m)=(-1)^m * 2^n * (1-x^2)^(m/2) * sum(for m <= k <= n: k!/(k-m)! * x^(k-m) * choose(n, k) * choose((n+k-1)/2, n))$$