External Ellipsoidal Harmonics for the Dunkl-Laplacian
| dc.creator | Volkmer, Hans | |
| dc.date | 2008-12-23 | |
| dc.date.accessioned | 2026-07-07T12:21:22Z | |
| dc.date.available | 2026-07-07T12:21:22Z | |
| dc.description | 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. | |
| dc.description | This is a contribution to the Special Issue on Dunkl Operators and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/ | |
| dc.identifier | https://arxiv.org/abs/0812.4365 | |
| dc.identifier | http://arxiv.org/abs/0812.4365 | |
| dc.identifier | SIGMA 4 (2008), 091, 13 pages | |
| dc.identifier | doi:10.3842/SIGMA.2008.091 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/213344 | |
| dc.subject | Classical Analysis and ODEs | |
| dc.subject | Mathematical Physics | |
| dc.title | External Ellipsoidal Harmonics for the Dunkl-Laplacian | |
| dc.type | text |