An introduction to the Barnes double gamma function with an application to an integral involving the cotangent function
Classical Analysis and ODEs
2019-02-19 v3
Abstract
We show a direct approach to Kinkelin's integral involving the cotangent function.
Keywords
Cite
@article{arxiv.1801.08025,
title = {An introduction to the Barnes double gamma function with an application to an integral involving the cotangent function},
author = {Donal F. Connon},
journal= {arXiv preprint arXiv:1801.08025},
year = {2019}
}
Comments
This includes a new Proposition 7.3 involving the integral of the second derivative of the Hurwitz zeta function