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.

## See also

Spherical Harmonic
## Explore with Wolfram|Alpha

## Cite this as:

Weisstein, Eric W. "Wigner D-Function."
From *MathWorld*--A Wolfram Web Resource. https://mathworld.wolfram.com/WignerD-Function.html