External Ellipsoidal Harmonics for the Dunkl-Laplacian
Abstract
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 Pnα,β and Jacobi's functions Qnα,β of the second kind.
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