Spherical Harmonics

One of the varieties of special functions which are encountered in the solution of physical problems, is the class of functions called spherical harmonics.

The functions in this table are placed in the form appropriate for the solution of the Schrodinger equation for the spherical potential well, but occur in other physical problems as well. The dependence upon the colatitude angle q in spherical polar coordinates is a modified form of the associated Legendre functions.