English

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

R2 v1 2026-06-22T23:54:17.656Z