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