Generalized Ellipsoidal and Sphero-Conal Harmonics
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 Stiel...
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| Дата: | 2006 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
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Інститут математики НАН України
2006
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146110 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Generalized Ellipsoidal and Sphero-Conal Harmonics / H. Volkmer // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 22 назв. — англ. |
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irk-123456789-1461102019-02-08T01:23:45Z Generalized Ellipsoidal and Sphero-Conal Harmonics Volkmer, H. 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. 2006 Article Generalized Ellipsoidal and Sphero-Conal Harmonics / H. Volkmer // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 22 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 33C50; 35C10 http://dspace.nbuv.gov.ua/handle/123456789/146110 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Volkmer, H. |
| spellingShingle |
Volkmer, H. Generalized Ellipsoidal and Sphero-Conal Harmonics Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Volkmer, H. |
| author_sort |
Volkmer, H. |
| title |
Generalized Ellipsoidal and Sphero-Conal Harmonics |
| title_short |
Generalized Ellipsoidal and Sphero-Conal Harmonics |
| title_full |
Generalized Ellipsoidal and Sphero-Conal Harmonics |
| title_fullStr |
Generalized Ellipsoidal and Sphero-Conal Harmonics |
| title_full_unstemmed |
Generalized Ellipsoidal and Sphero-Conal Harmonics |
| title_sort |
generalized ellipsoidal and sphero-conal harmonics |
| publisher |
Інститут математики НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146110 |
| citation_txt |
Generalized Ellipsoidal and Sphero-Conal Harmonics / H. Volkmer // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 22 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT volkmerh generalizedellipsoidalandspheroconalharmonics |
| first_indexed |
2023-05-20T17:23:51Z |
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2023-05-20T17:23:51Z |
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1796153201911660544 |