Geodesic
External Ellipsoidal Harmonics for the Dunkl–Laplacian
Symmetry, integrability and geometry: methods and applications, Tome 4 (2008) Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $P_n^{\alpha,\beta}$ and Jacobi's functions $Q_n^{\alpha,\beta}$ of the second kind.
Keywords: external ellipsoidal harmonics; Stieltjes polynomials; Dunkl–Laplacian; fundamental solution; NivenвЂTMs formula; JacobiвЂTMs function of the second kind. 
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     title = {External {Ellipsoidal} {Harmonics} for the {Dunkl{\textendash}Laplacian}},
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H. Volkmer. External Ellipsoidal Harmonics for the Dunkl–Laplacian. Symmetry, integrability and geometry: methods and applications, Tome 4 (2008). http://geodesic.mathdoc.fr/item/SIGMA_2008_4_a90/

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