PlSchmidt()

Compute all the Schmidt-normalized Legendre polynomials.

Usage

p = PlSchmidt (lmax, z)

Returns

p : float, dimension (lmax+1)

An array of Schmidt-normalized 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

PlSchmidt will calculate all of the Schmidt-normalized Legendre polynomials up to degree lmax for a given argument. These are calculated using a standard three-term recursion formula. The integral of the Schmidt-normalized Legendre polynomials over the interval [-1, 1] is 2/(2l+1).