Function that computes the polynomial components of mu that are paired with the output of .CalcLegendreComponents to create the indiviudal components of the associated Legendre function, \(P_{n,m}(\mu)\).
.CalcPolynomialComponents(mu)Function argument to \(P_{n,m}(\mu)\)
The underlying equation used is: $$P(x, n, m)=(-1)^m * 2^n * (1-x^2)^(m/2) * sum(for m <= k <= n: k!/(k-m)! * x^(k-m) * choose(n, k) * choose((n+k-1)/2, n))$$