External Ellipsoidal Harmonics for the Dunkl-Laplacian
External Ellipsoidal Harmonics for the Dunkl-Laplacian
The paper introduces external ellipsoidal and external sphero-conal h-harmonics for the Dunkl-Laplacian.These external h-harmonics admit integral representations, and they are connected by a formula of Niven's type.External h-harmonics in the plane are expressed in terms of Jacobi polynomials P α,β n and Jacobi's functions Q α,β n of the second …