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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.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…