Compute all the unnormalized Legendre polynomials.
Usage
p = PLegendre (lmax, z)
Returns
- p : float, dimension (lmax+1)
- An array of unnormalized Legendre polynomials up to degree lmax. Degree l corresponds to array index l.
Parameters
- lmax : integer
- The maximum degree of the Legendre polynomials to be computed.
- z : float
- The argument of the Legendre polynomial.
Description
PLegendre will calculate all of the unnormalized Legendre polynomials up to degree lmax for a given argument. These are calculated using a standard three-term recursion formula. The integral of the Legendre polynomials over the interval [-1, 1] is 2/(2l+1).
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