Asymptotics and complex analysis

Abstract: I will discuss the tools from complex analysis that are needed in the study of (uniform) asymptotic expansions of special functions. For many of these divergent expansions it is possible to construct very efficient integral representations for the coefficients and remainders, and these are needed in implementations and sharp error-bounds. I might also discuss exponential asymptotics of the perturbed first Painlevé equation.

complex variables

Audience: researchers in the topic

CAvid: Complex Analysis video seminar

Series comments: Please e-mail R.Halburd@ucl.ac.uk for the Zoom link. Also, please let me know whether you would like to be added to the mailing list to automatically receive links for future talks in CAvid.