Generalized Ellipsoidal and Sphero-Conal Harmonics

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dc.creatorVolkmer, Hans
dc.date2006-10-24
dc.date.accessioned2026-07-07T09:34:33Z
dc.date.available2026-07-07T09:34:33Z
dc.descriptionClassical ellipsoidal and sphero-conal harmonics are polynomial solutions of the Laplace equation that can be expressed in terms of Lame polynomials. Generalized ellipsoidal and sphero-conal harmonics are polynomial solutions of the more general Dunkl equation that can be expressed in terms of Stieltjes polynomials. Niven's formula connecting ellipsoidal and sphero-conal harmonics is generalized. Moreover, generalized ellipsoidal harmonics are applied to solve the Dirichlet problem for Dunkl's equation on ellipsoids.
dc.descriptionThis is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/math/0610718
dc.identifierhttp://arxiv.org/abs/math/0610718
dc.identifierSIGMA 2 (2006), 071, 16 pages
dc.identifierdoi:10.3842/SIGMA.2006.071
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159531
dc.subjectClassical Analysis and ODEs
dc.subjectMathematical Physics
dc.titleGeneralized Ellipsoidal and Sphero-Conal Harmonics
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