dot-CalcPolynomialComponents: Calculate Polynomial Components for Associated Legendre...

In wmm: World Magnetic Model

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))

wmm documentation built on Sept. 6, 2021, 9:10 a.m.