Konsep Inti
The higher-order Stokes phenomenon, previously considered a discontinuous event in asymptotic representations, is actually a smooth transition governed by a new special function, impacting the understanding of asymptotic behavior in various mathematical and physical problems.
Kutipan
"Until now, the higher-order Stokes phenomenon has also been treated as a discontinuous event. In this paper we show how the higher-order Stokes phenomenon is, in fact, also smooth and occurs universally with a prefactor that takes the form of a new special function, based on a Gaussian convolution of an error function that gives rise to a rich structure."
"In contrast to the error function smoothing of the ordinary Stokes phenomenon, the smooth prefactor of the higher-order Stokes phenomenon that takes the form of a new special function, being a (semi-)convolution of a Gaussian and an error function, reminiscent of a power normal distribution [22]."