PlON()

Compute all the orthonormalized Legendre polynomials.

Usage

p = PlON (lmax, z)

Returns

p : float, dimension (lmax+1)

An array of orthonormalized 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

PlON will calculate all of the orthonormalized Legendre polynomials up to degree lmax for a given argument. These are calculated using a standard three-term recursion formula. The integral of the orthonormalized normalized Legendre polynomials over the interval [-1, 1] is 2/(4pi).