Explicit normalized eigenfunctions, interbasis expansions, and Euclidean-plane contraction limits are derived for the semi-circular, elliptic, and hyperbolic parabolic coordinate systems on the two-sheeted hyperboloid.
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Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis
Explicit normalized eigenfunctions, interbasis expansions, and Euclidean-plane contraction limits are derived for the semi-circular, elliptic, and hyperbolic parabolic coordinate systems on the two-sheeted hyperboloid.