Skip to content

Latest commit

 

History

History
68 lines (55 loc) · 2.94 KB

python-legendre-functions.md

File metadata and controls

68 lines (55 loc) · 2.94 KB
Raw
title keywords sidebar permalink summary toc folder
pysh.legendre
spherical harmonics, legendre functions, legendre polynomials, python, pyshtools
mydoc_sidebar
python-legendre-functions.html
This module provides routines for computing Legendre functions and Legendre polynomials.
true
mydoc
<style> table:nth-of-type(n) { display:table; width:100%; } table:nth-of-type(n) th:nth-of-type(2) { width:75%; } </style>

Convenience functions

Function name Description
legendre Compute all the associated Legendre functions up to a maximum degree and order.
legendre_lm Compute the associated Legendre function for specific degrees l and orders m.

4π normalized

Function name Description
PlmBar Compute all the geodesy-normalized associated Legendre functions.
PlmBar_d1 Compute all the geodesy-normalized associated Legendre functions and first derivatives.
PlBar Compute all the geodesy-normalized Legendre polynomials.
PlBar_d1 Compute all the geodesy-normalized Legendre Polynomials and first derivatives.

Orthonormalized

Function name Description
PlmON Compute all the orthonormalized associated Legendre functions.
PlmON_d1 Compute all the orthonormalized associated Legendre functions and first derivatives.
PlON Compute all the orthonormalized Legendre polynomials.
PlON_d1 Compute all the orthonormalized Legendre polynomials and first derivatives.

Schmidt normalized

Function name Description
PlmSchmidt Compute all the Schmidt-normalized associated Legendre functions.
PlmSchmidt_d1 Compute all the Schmidt-normalized associated Legendre functions and first derivatives.
PlSchmidt Compute all the Schmidt-normalized Legendre polynomials.
PlSchmidt_d1 Compute all the Schmidt-normalized Legendre polynomials and first derivatives.

Unnormalized

Function name Description
PLegendreA Compute all the unnormalized associated Legendre functions.
PLegendreA_d1 Compute all the unnormalized associated Legendre functions and first derivatives.
PLegendre Compute all the unnormalized Legendre polynomials.
PLegendre_d1 Compute all the unnormalized Legendre polynomials and first derivatives.

Utilities

Function name Description
PlmIndex Compute the index of an array of Legendre function corresponding to degree l and angular order m.