| title | keywords | sidebar | permalink | summary | tags | toc | editdoc | |
|---|---|---|---|---|---|---|---|---|
PlSchmidt() |
spherical harmonics software package, spherical harmonic transform, legendre functions, multitaper spectral analysis, Python, gravity, magnetic field |
mydoc_sidebar |
pyplschmidt.html |
|
false |
pydoc |
Compute all the Schmidt-normalized Legendre polynomials.
p = PlSchmidt (lmax, z)
p : float, dimension (lmax+1) : An array of Schmidt-normalized Legendre polynomials up to degree lmax. Degree l corresponds to array index l.
lmax : integer : The maximum degree of the Legendre polynomials to be computed.
z : float : The argument of the Legendre polynomial.
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).