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arXiv · 0812.4365

External Ellipsoidal Harmonics for the Dunkl-Laplacian

Hans Volkmer
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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 $P_n^{α,β}$ and Jacobi's functions $Q_n^{α,β}$ of the second kind.

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BibTeXRIS

Hans Volkmer. 2008-12-23. External Ellipsoidal Harmonics for the Dunkl-Laplacian. https://doi.org/10.3842/sigma.2008.091

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