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Separation of Variables and Contractions on Two-Dimensional Hyperboloid
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- Фізико-технічні та математичні науки
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- Відділення математики
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8
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- Symmetry, Integrability and Geometry: Methods and Applications, 2012, том 8, випуск за цей рік
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Separation of Variables and Contractions on Two-Dimensional Hyperboloid
Інший ID:
2010 Mathematics Subject Classification: 70H06; 35J05
DOI: http://dx.doi.org/10.3842/SIGMA.2012.105
DOI: http://dx.doi.org/10.3842/SIGMA.2012.105
Посилання:
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.
Підтримка:
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
Дата:
2012
Переглядів:
587
Завантажень:
247
Анотація:
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.
