Asymptotic evaluation of $\int_0^\infty\left(\frac{\sin x}{x}\right)^n\;dx$
Classical Analysis and ODEs
2021-03-09 v1
Abstract
We consider the integral as a function of the positive integer . We show that there exists an asymptotic series in and compute the first terms of this series together with an explicit error bound.
Cite
@article{arxiv.2010.11759,
title = {Asymptotic evaluation of $\int_0^\infty\left(\frac{\sin x}{x}\right)^n\;dx$},
author = {Jan-Christoph Schlage-Puchta},
journal= {arXiv preprint arXiv:2010.11759},
year = {2021}
}