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).

See also

plbar, plbar_d1, plmbar, plmbar_d1, plon_d1, plmon, plmon_d1, plschmidt, plschmidt_d1, plmschmidt, plmschmidt_d1, plegendre, plegendre_d1, plegendrea, plegendrea_d1

Tags: python
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