3 papers
math.CA2025
Cubic Oscillator: Geometric Approach and Zeros of Eigenfunctions
Faouzi Thabet, Gliia Braek, Marwa Mansouri +1
In this paper, we give a geometric approach to the cubic oscillator with three distinct turning points based on the \emph{\ correspondence }introduced in \ci…
math.CA2025
Algebraic equation and quadratic differential related to generalized Bessel polynomials with varying parameters
Mohamed Jalel Atia, Faouzi Thabet
The limiting set of zeros of generalized Bessel polynomials with varying parameters depending on the degree n cluster in a curve on the complex plane, which is a finite critical tr…
math.CA2024
Topology of Stokes Complex Related to a Polynomial Quadratic Differential : Phase Transitions and Number of Short Trajectories
Gliia Braek, Mondher Chouikhi, Faouzi Thabet
In this paper, we give a full description of the critical graph of the quadratic differential defined on the Riemann sphere $\widehat{% %TCIMACRO{\U{2102} }% %Begin…