Generalized Ellipsoidal and Sphero-Conal Harmonics
dc.contributor.author | Volkmer, H. | |
dc.date.accessioned | 2019-02-07T13:37:31Z | |
dc.date.available | 2019-02-07T13:37:31Z | |
dc.date.issued | 2006 | |
dc.description.abstract | Classical ellipsoidal and sphero-conal harmonics are polynomial solutions of the Laplace equation that can be expressed in terms of Lamé 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. | uk_UA |
dc.description.sponsorship | This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. The author thanks W. Miller Jr. and two anonymous referees for helpful comments. | uk_UA |
dc.identifier.citation | Generalized Ellipsoidal and Sphero-Conal Harmonics / H. Volkmer // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 22 назв. — англ. | uk_UA |
dc.identifier.issn | 1815-0659 | |
dc.identifier.other | 2000 Mathematics Subject Classification: 33C50; 35C10 | |
dc.identifier.uri | https://nasplib.isofts.kiev.ua/handle/123456789/146110 | |
dc.language.iso | en | uk_UA |
dc.publisher | Інститут математики НАН України | uk_UA |
dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
dc.status | published earlier | uk_UA |
dc.title | Generalized Ellipsoidal and Sphero-Conal Harmonics | uk_UA |
dc.type | Article | uk_UA |
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