.CalcPolynomialComponents {wmm}

Calculate Polynomial Components for Associated Legendre Function

Description

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).

Usage

.CalcPolynomialComponents(mu)

Arguments

mu

Function argument to P_{n,m}(\mu)

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))