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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| Дата: | 2012 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.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
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149190 |
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dspace |
| spelling |
irk-123456789-1491902019-02-20T01:24:45Z Separation of Variables and Contractions on Two-Dimensional Hyperboloid Kalnins, E. Pogosyan, G.S. Yakhno, A. 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. 2012 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/149190 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 |
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. |
| format |
Article |
| author |
Kalnins, E. Pogosyan, G.S. Yakhno, A. |
| spellingShingle |
Kalnins, E. Pogosyan, G.S. Yakhno, A. Separation of Variables and Contractions on Two-Dimensional Hyperboloid Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Kalnins, E. Pogosyan, G.S. Yakhno, A. |
| author_sort |
Kalnins, E. |
| title |
Separation of Variables and Contractions on Two-Dimensional Hyperboloid |
| 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 |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT kalninse separationofvariablesandcontractionsontwodimensionalhyperboloid AT pogosyangs separationofvariablesandcontractionsontwodimensionalhyperboloid AT yakhnoa separationofvariablesandcontractionsontwodimensionalhyperboloid |
| first_indexed |
2023-05-20T17:31:41Z |
| last_indexed |
2023-05-20T17:31:41Z |
| _version_ |
1796153493200830464 |