treams.special.tau_fun

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

Angular function tau

\[\tau^l_m(x) = \left.\frac{\mathrm d}{\mathrm d \theta}P_l^m(\cos\theta)\right|_{x = \cos\theta}\]

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