Generalized Ellipsoidal and Sphero-Conal Harmonics
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Generalized Ellipsoidal and Sphero-Conal Harmonics
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| Creator |
Volkmer, H.
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| 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.
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| Date |
2019-02-07T13:37:31Z
2019-02-07T13:37:31Z 2006 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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