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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2012 |
| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2012
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| Online Zugang: | 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 |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862643834649837568 |
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| author | Kalnins, E. Pogosyan, G.S. Yakhno, A. |
| author_facet | Kalnins, E. Pogosyan, G.S. Yakhno, A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
|
| first_indexed | 2025-12-01T08:13:07Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-149190 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-01T08:13:07Z |
| publishDate | 2012 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Separation of Variables and Contractions on Two-Dimensional Hyperboloid Kalnins, E. Pogosyan, G.S. Yakhno, A. |
| title | 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_short | Separation of Variables and Contractions on Two-Dimensional Hyperboloid |
| title_sort | separation of variables and contractions on two-dimensional hyperboloid |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/149190 |
| work_keys_str_mv | AT kalninse separationofvariablesandcontractionsontwodimensionalhyperboloid AT pogosyangs separationofvariablesandcontractionsontwodimensionalhyperboloid AT yakhnoa separationofvariablesandcontractionsontwodimensionalhyperboloid |