Separation of variables and contractions on two-dimensional hyperboloid
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Abstract
In this paper analytic contractions have been established in the R → ∞ con- traction 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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Kalnins, E. G., Pogosyan, G. S., & Yakhno, A. (2012). Separation of variables and contractions on two-dimensional hyperboloid. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 8. http://doi.org/10.3842/SIGMA.2012.105
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Institute of Mathematics of National Academy of Science of Ukraine