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arXiv · 1604.00753

The Fourier series of the log-Barnes function

István Mező
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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 $\log G$. During the course of the paper some interesting log-Gamma integrals and a log-harmonic sum are evaluated.

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István Mező. 2016-04-04. The Fourier series of the log-Barnes function. https://arxiv.org/abs/1604.00753

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