Separation of Variables and Contractions on Two-Dimensional Hyperboloid

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2012
• Main Authors: Kalnins, E., Pogosyan, G.S., Yakhno, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2012
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/149190
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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.