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Summation of certain trigonometric series with logarithmic coefficients
Published 17 Sep 2021 in math.CA | (2109.08686v1)
Abstract: The sums of three trigonometric series with logarithmic coefficients are derived by extending an approach first utilized by Lerch. By applying Frullani's theorem to two of these series, two non-trivial integrals involving hyperbolic functions are evaluated in terms of the digamma function.
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