treams.special.pi_fun

treams.special.pi_fun(l, m, x) = <ufunc 'pi_fun'>

Angular function pi

\[\pi^l_m(x) = \frac{m P_l^m(x)}{\sqrt{1 - x^2}}\]

where \(P^l_m\) is the associated Legendre polynomial.

Parameters:

• l (integer, array_like) – degree \(l \geq 0\)

• m (integer, array_like) – order \(|m| \leq l\)

• x (float or complex, array_like) – argument

Returns:

float or complex