The Fourier series of the log-Barnes function
Classical Analysis and ODEs
2016-04-05 v1
Abstract
In this paper we determine the Fourier series expansion of the log-Barnes function. This is the analogue of the classical result of Kummer and Malmsten. Applying this expansion we get some integrals similar to the Espinosa-Moll log-Gamma integrals with respect to . During the course of the paper some interesting log-Gamma integrals and a log-harmonic sum are evaluated.
Keywords
Cite
@article{arxiv.1604.00753,
title = {The Fourier series of the log-Barnes function},
author = {István Mező},
journal= {arXiv preprint arXiv:1604.00753},
year = {2016}
}