Geodesic
Separation of Variables and Contractions on Two-Dimensional Hyperboloid
Symmetry, integrability and geometry: methods and applications, Tome 8 (2012) Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
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     author = {Ernie Kalnins and George S. Pogosyan and Alexander Yakhno},
     title = {Separation of {Variables} and {Contractions} on {Two-Dimensional} {Hyperboloid}},
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     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a104/}
}
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Ernie Kalnins; George S. Pogosyan; Alexander Yakhno. Separation of Variables and Contractions on Two-Dimensional Hyperboloid. Symmetry, integrability and geometry: methods and applications, Tome 8 (2012). http://geodesic.mathdoc.fr/item/SIGMA_2012_8_a104/

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