LEGENDRE Function
Evaluates the associated Legendre functions.
Usage
P = LEGENDRE(n, m, x)
Input Parameters
n—A non-negative integer.
m—A non-negative integer less than or equal to n.
x—An array of values in the range [–1, 1].
Returned Value
P—An array of the same dimensions as x, containing the associated Legendre function Pn,m, evaluated at each x(i).
Input Keywords
Norm—If set then Pn,m is normalized by the factor:
Discussion
The associated LEGENDRE function is a solution of the associated Legendre differential equation:
If the keyword Norm is set, then the functions are normalized so that:
The LEGENDRE function is based on the work of Adrien-Marie Legendre.
Example
See wave/lib/user/examples/legendre_ex.
