Separation of variables and contractions on two-dimensional hyperboloid

Kalnins, Ernie G.; Pogosyan, G.S.; Yakhno, Alexander

doi:10.3842/SIGMA.2012.105

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DOI

10.3842/SIGMA.2012.105

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Kalnins, E. G., Pogosyan, G. S., & Yakhno, A. (2012). Separation of variables and contractions on two-dimensional hyperboloid. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 8. http://doi.org/10.3842/SIGMA.2012.105

Permanent Research Commons link: https://hdl.handle.net/10289/10143

Abstract

In this paper analytic contractions have been established in the R → ∞ con- traction 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.

Date

2012

Type

Journal Article

Publisher

Institute of Mathematics of National Academy of Science of Ukraine

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Computing and Mathematical Sciences Papers [1455]