2 papers
math-ph2026
Generalized Hermite Polynomials and Spectral Degeneracies of a Singular Sextic Oscillator
Davide Guzzetti, Dmitrii Rachenkov
We study a quasi-exactly solvable singular sextic oscillator and its algebraic spectrum. For a distinguished range of parameters, we prove that the discriminant of the characterist…
math.CA2025
Asymptotic solutions for linear ODEs with not-necessarily meromorphic coefficients: a Levinson type theorem on complex domains, and applications
Giordano Cotti, Davide Guzzetti, Davide Masoero
In this paper, we consider systems of linear ordinary differential equations, with analytic coefficients on big sectorial domains, which are asymptotically diagonal for large value…