SHTOOLS --- Tools for working with spherical harmonics

> Home > Documentation > Fortran 95 > Legendre Functions

PlSchmidt

Compute all the Schmidt-normalized Legendre polynomials.

Usage

call PlSchmidt (p, lmax, z)

Parameters

p : output, real*8, dimension (lmax+1)
An array of Schmidt-normalized Legendre polynomials up to degree lmax. Degree l corresponds to array index l+1.
lmax : input, integer
The maximum degree of the Legendre polynomials to be computed.
z : input, real*8
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).

See also

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

> Home > Documentation > Fortran 95 > Legendre Functions

Institut de Physique du Globe de Paris University of Sorbonne Paris Cité © 2016 SHTOOLS