TRANSFORMATION OPERATORS FOR THE PERTURBED HILL EQUATION WITH COMPLEX COEFFICIENTS

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Khanmamedov A., Mamedova A.

Advanced Mathematical Models and Applications, vol.9, no.1, pp.27-34, 2024 (Scopus) identifier

  • 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.