2 papers
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
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…