Evaluates the associated Legendre functions.

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].

P—An array of the same dimensions as x, containing the associated Legendre function Pn,m, evaluated at each x(i).

Norm—If set then Pn,m is normalized by the factor:

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.

See wave/lib/user/examples/legendre_ex.