Separation of Variables and Contractions on Two-Dimensional Hyperboloid
In this paper analytic contractions have been established in the R→∞ contraction limit for exactly solvable basis functions of the Helmholtz equation on the two-dimensional two-sheeted hyperboloid. As a consequence we present some new asymptotic formulae.
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2012 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/149190 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Separation of Variables and Contractions on Two-Dimensional Hyperboloid / E. Kalnins, G.S. Pogosyan, A. Yakhno // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 18 назв. — англ. |
Репозитарії
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nasplib_isofts_kiev_ua-123456789-149190 |
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Kalnins, E. Pogosyan, G.S. Yakhno, A. 2019-02-19T18:24:57Z 2019-02-19T18:24:57Z 2012 Separation of Variables and Contractions on Two-Dimensional Hyperboloid / E. Kalnins, G.S. Pogosyan, A. Yakhno // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 18 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 70H06; 35J05 DOI: http://dx.doi.org/10.3842/SIGMA.2012.105 https://nasplib.isofts.kiev.ua/handle/123456789/149190 In this paper analytic contractions have been established in the R→∞ contraction limit for exactly solvable basis functions of the Helmholtz equation on the two-dimensional two-sheeted hyperboloid. As a consequence we present some new asymptotic formulae. This paper is a contribution to the Special Issue “Superintegrability, Exact Solvability, and Special Functions”. The full collection is available at http://www.emis.de/journals/SIGMA/SESSF2012.html. The work of G.S.P. was partially supported under the Armenian-Belorussian grant 11RB-010. G.S.P. and A.Ya. are thankful to the PRO-SNI (UdeG, Mexico en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Separation of Variables and Contractions on Two-Dimensional Hyperboloid Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Separation of Variables and Contractions on Two-Dimensional Hyperboloid |
| spellingShingle |
Separation of Variables and Contractions on Two-Dimensional Hyperboloid Kalnins, E. Pogosyan, G.S. Yakhno, A. |
| title_short |
Separation of Variables and Contractions on Two-Dimensional Hyperboloid |
| title_full |
Separation of Variables and Contractions on Two-Dimensional Hyperboloid |
| title_fullStr |
Separation of Variables and Contractions on Two-Dimensional Hyperboloid |
| title_full_unstemmed |
Separation of Variables and Contractions on Two-Dimensional Hyperboloid |
| title_sort |
separation of variables and contractions on two-dimensional hyperboloid |
| author |
Kalnins, E. Pogosyan, G.S. Yakhno, A. |
| author_facet |
Kalnins, E. Pogosyan, G.S. Yakhno, A. |
| publishDate |
2012 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
In this paper analytic contractions have been established in the R→∞ contraction limit for exactly solvable basis functions of the Helmholtz equation on the two-dimensional two-sheeted hyperboloid. As a consequence we present some new asymptotic formulae.
|
| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/149190 |
| citation_txt |
Separation of Variables and Contractions on Two-Dimensional Hyperboloid / E. Kalnins, G.S. Pogosyan, A. Yakhno // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 18 назв. — англ. |
| work_keys_str_mv |
AT kalninse separationofvariablesandcontractionsontwodimensionalhyperboloid AT pogosyangs separationofvariablesandcontractionsontwodimensionalhyperboloid AT yakhnoa separationofvariablesandcontractionsontwodimensionalhyperboloid |
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2025-12-01T08:13:07Z |
| last_indexed |
2025-12-01T08:13:07Z |
| _version_ |
1850859693310738432 |