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arXiv:2109.08686 [math.CA]AbstractReferencesReviewsResources

Summation of certain trigonometric series with logarithmic coefficients

Rufus Boyack

Published 2021-09-17Version 1

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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