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Extended Levett trigonometric series

PLoS One. 2025 May 20;20(5):e0320045. doi: 10.1371/journal.pone.0320045. eCollection 2025.

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 and infinite series involving special functions, trigonometric functions and fundamental constants. A short table summarizing some interesting results is produced.

PMID:40392903 | DOI:10.1371/journal.pone.0320045

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