Symmetry, Integrability and Geometry: Methods and Applications External Ellipsoidal Harmonics for the Dunkl–Laplacian ⋆
BibTeX
@MISC{Volkmer_symmetry,integrability,
author = {Hans Volkmer},
title = {Symmetry, Integrability and Geometry: Methods and Applications External Ellipsoidal Harmonics for the Dunkl–Laplacian ⋆},
year = {}
}
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Abstract
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 P α,β n kind. and Jacobi’s functions Q α,β n of the second Key words: external ellipsoidal harmonics; Stieltjes polynomials; Dunkl–Laplacian; fundamental solution; Niven’s formula; Jacobi’s function of the second kind 2000 Mathematics Subject Classification: 33C52; 35C10 1
