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arXiv · 2310.04543

Extended Levett trigonometric series

Robert Reynolds
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Abstract

An extension of two finite trigonometric series is studied to derive closed form formulae involving the Hurwitz-Lerch zeta function. The trigonometric series involves angles with a geometric series involving the powers of 3. These closed formulae are used to derive composite finite series involving special functions, trigonometric functions and fundamental constants. A short table summarizing some interesting results is produced.

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Robert Reynolds. 2023-10-01. Extended Levett trigonometric series. https://doi.org/10.1371/journal.pone.0320045

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