Separation of Variables and Contractions on Two-Dimensional Hyperboloid

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.

Bibliographic Details
Main Authors: Ernie Kalnins, George S. Pogosyan, Alexander Yakhno
Format: Article
Language:English
Published: National Academy of Science of Ukraine 2012-12-01
Series:Symmetry, Integrability and Geometry: Methods and Applications
Subjects:
analytic contraction
separation of variables
Lie group
Helmholtz equation
Online Access:http://dx.doi.org/10.3842/SIGMA.2012.105
Description
Summary: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.
ISSN:1815-0659

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