Separation of Variables and Contractions on Two-Dimensional Hyperboloid
classification
🧮 math-ph
math.MPnlin.SI
keywords
contractionshyperboloidtwo-dimensionalanalyticasymptoticbasisbeenconsequence
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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.
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