Separation of Variables and Contractions on Two-Dimensional Hyperboloid

[摘要] 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.

[关键词] analytic contraction;separation of variables;Lie group;Helmholtz equation