Generalized Ellipsoidal and Sphero-Conal Harmonics

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2006, том 2
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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