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Bibliographic Details
Main Authors: Pogosyan, G. S., Yakhno, A.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2506.06827
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Table of Contents:
  • The paper describes solutions of the Laplace-Beltrami equation on two-dimensional two-sheeted hyperboloid for three non-subgroup coordinate systems: semi-sircular parabolic, elliptic parabolic and hyperbolic parabolic. The coefficients of interbasis expansions of solutions in the specified coordinate systems through some subgroup bases are calculated. A contraction procedure for all normalized eigenfunctions in three non-subgroup coordinate systems from the hyperboloid to the Euclidean plane is realized.