| HOME | DOWNLOAD | DOCUMENTATION | FAQ |
> Home > Documentation > Python > Legendre Functions
PLegendre
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. Degreelcorresponds to array indexl.
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).
See also
plbar, plbar_d1, plmbar, plmbar_d1, plon, plon_d1, plmon, plmon_d1, plschmidt, plschmidt_d1, plmschmidt, plmschmidt_d1, plegendre_d1, plegendrea, plegendrea_d1
> Home > Documentation > Python > Legendre Functions
| Laboratoire Lagrange | Observatoire de la Côte d'Azur | © 2017 SHTOOLS |