Показати простий запис статті
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.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 |
http://dspace.nbuv.gov.ua/handle/123456789/146110 |
|
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.language.iso |
en |
uk_UA |
dc.publisher |
Інститут математики НАН України |
uk_UA |
dc.relation.ispartof |
Symmetry, Integrability and Geometry: Methods and Applications |
|
dc.title |
Generalized Ellipsoidal and Sphero-Conal Harmonics |
uk_UA |
dc.type |
Article |
uk_UA |
dc.status |
published earlier |
uk_UA |
Файли у цій статті
Ця стаття з'являється у наступних колекціях
Показати простий запис статті