In the Wolfram Language, WignerD[
j, m ,n
, psi, theta, phi] gives the 
matrix element of a 
-dimensional unitary representation of SU(2) parametrized
by three Euler angles, while WignerD[
j, m, n
, theta, phi] will give the Wigner 
-function with 
, which is a generalized spherical
harmonic.
If 
are integers or half-integers subject to conditions 
, 
, 
, and 
are integers, and 
and 
, then the function can be evaluated to a closed-form
expression.
