3 papers
math.CA2026
Hyperasymptotics for linear difference equations with an irregular singularity of rank one: Polynomial coefficients
GergÅ Nemes
Hyperasymptotics is an analytical method that incorporates exponentially small contributions into asymptotic approximations, thereby expanding their domain of validity, improving a…
math.NT2025
Polynomials and asymptotic constants in a resurgent problem from 't Hooft
David Broadhurst, GergÅ Nemes, Gergő Nemes
In a recent study of the quantum theory of harmonic oscillators, Gerard 't Hooft proposed the following problem: given for , find its a…
math.CA2024
Smoothing of the higher-order Stokes phenomenon
Chris J. Howls, John R. King, GergÅ Nemes +1
For nearly a century and a half the Stokes phenomenon had been perceived as a discontinuous change in the asymptotic representation of a function. In 1989 Berry demonstrated how it…