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math-ph2025
Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIB. Non-Subgroup Basis
G. S. Pogosyan, A. Yakhno
The paper describes solutions of the Laplace-Beltrami equation on two-dimensional two-sheeted hyperboloid for three non-subgroup coordinate systems: semi-sircular parabolic, ellipt…
math-ph2025
Lie Algebra Contractions and Interbasis Expansions on Two-Dimensional Hyperboloid IIA. Subgroup Basis
G. S. Pogosyan, A. Yakhno
Three subgroup type eigenfunctions of the Laplace-Beltrami operator on a two-dimensional two-sheeted hyperboloid are considered and all interbasis expansions between them are calcu…
math.CA2025★ 1 cited
Reviewing the Helmholtz Equation on Euclidean Plane and Interbasis Expansions
G. S. Pogosyan, A. Yakhno
In the present paper we revisit the Helmholtz equation on the Euclidean plane and make some remarks on normalization constants and completeness of wave function sets. The coefficie…