English

Separation of Variables and Contractions on Two-Dimensional Hyperboloid

Mathematical Physics 2012-12-27 v1 math.MP Exactly Solvable and Integrable Systems

Abstract

In this paper analytic contractions have been established in the RR\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

Cite

@article{arxiv.1212.6123,
  title  = {Separation of Variables and Contractions on Two-Dimensional Hyperboloid},
  author = {Ernie Kalnins and George S. Pogosyan and Alexander Yakhno},
  journal= {arXiv preprint arXiv:1212.6123},
  year   = {2012}
}
R2 v1 2026-06-21T23:00:14.134Z