  Classical ellipsoidal and sphero-conal harmonics are polynomial solutions of
the Laplace equation that can be expressed in terms of Lame polynomials.
Generalized ellipsoidal and sphero-conal harmonics are polynomial solutions of
the more general Dunkl equation that can be expressed in terms of Stieltjes
polynomials. Niven's formula connecting ellipsoidal and sphero-conal harmonics
is generalized. Moreover, generalized ellipsoidal harmonics are applied to
solve the Dirichlet problem for Dunkl's equation on ellipsoids.
