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 polyn...

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Bibliographic Details
Main Author: Hans Volkmer
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2008-12-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
Online Access:http://dx.doi.org/10.3842/SIGMA.2008.091