Copy For Citation
Khanmamedov A., Mamedova A.
Advanced Mathematical Models and Applications, vol.9, no.1, pp.27-34, 2024 (Scopus)
-
Publication Type:
Article / Article
-
Volume:
9
Issue:
1
-
Publication Date:
2024
-
Doi Number:
10.62476/amma9127
-
Journal Name:
Advanced Mathematical Models and Applications
-
Journal Indexes:
Scopus
-
Page Numbers:
pp.27-34
-
Keywords:
Bessel function, Floquet solutions, Hill equation, perturbed equation, Riemann function, transformation operator
-
Azerbaijan State University of Economics (UNEC) Affiliated:
Yes
Abstract
In this paper, we consider the perturbed Hill equation on the entire axis. Using a transformation operator that preserves asymptotics at infinity, triangular representations of special solutions of this equation are found. Estimates for the representation kernels are obtained.