Separation of Variables and Contractions on Two-Dimensional Hyperboloid

Abstract

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.

References in corpus (1)

• Separation of variables and Lie algebra contractions. Applications to special functions