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Symmetry, Integrability and Geometry: Methods and Applications, 2012, Volume 8, 105, 11 pp.
DOI: https://doi.org/10.3842/SIGMA.2012.105 (Mi sigma782) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Separation of Variables and Contractions on Two-Dimensional Hyperboloid

Ernie Kalninsa, George S. Pogosyanbc, Alexander Yakhnoc

a Department of Mathematics, University of Waikato, Hamilton, New Zealand
b International Center for Advanced Studies, Yerevan State University, A. Manougian 1, Yerevan, 0025, Armenia
c Departamento de Matemáticas, CUCEI, Universidad de Guadalajara, Jalisco, Mexico
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DOI: https://doi.org/10.3842/SIGMA.2012.105
Abstract: In this paper analytic contractions have been established in the $R\to\infty$ 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.
Keywords: analytic contraction; separation of variables; Lie group; Helmholtz equation.
Received: August 9, 2012; in final form December 19, 2012; Published online December 26, 2012
Bibliographic databases:
Document Type: Article
MSC: 70H06; 35J05
Language: English
Citation: Ernie Kalnins, George S. Pogosyan, Alexander Yakhno, “Separation of Variables and Contractions on Two-Dimensional Hyperboloid”, SIGMA, 8 (2012), 105, 11 pp.
Citation in format AMSBIB
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\by Ernie~Kalnins, George~S.~Pogosyan, Alexander~Yakhno
\paper Separation of Variables and Contractions on Two-Dimensional Hyperboloid
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\yr 2012
\vol 8
\papernumber 105
\totalpages 11
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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