arXiv:2109.08686 [math.CA]AbstractReferencesReviewsResources
Summation of certain trigonometric series with logarithmic coefficients
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.
Comments: Published version
Categories: math.CA
Keywords: trigonometric series, logarithmic coefficients, digamma function, hyperbolic functions, approach first
Tags: journal article
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