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A Cosine Integral Series Representation of the Euler-Mascheroni Constant

2010/08/25 by John M. Campbell, Campbell, John M.
Engineering · Mathematics · Physics and Astronomy · #Optical Polarization and Ellipsometry #Optical and Acousto-Optic Technologies #math.NT #msc:40C10

paper · pdf · doi:10.48550/arxiv.1008.4379

This paper has been withdrawn by the author due to Theorem 1 already having been published

arxiv created 2010/09/01 · arxiv updated 2010/09/03

Abstract

By integrating a series provided by Knopp, a series representation of the Euler-Mascheroni constant arises. The infinite sum representation of γ is determined through Fourier series (sawtooth wave).

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