Asymptotic expansions of integrals and Nielsen's polylogarithms

Markus Kuba, Moti Levy

This article derives full asymptotic expansions for integrals of the form \[ \int_{0}^{1}f(u)(1+q\cdot u^{n})^{w/n}du \] as $n\to \infty$, with parameters real $w\ne 0$ and…