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Extended Levett trigonometric series.

Created on 21 May 2025

Authors

Robert Reynolds

Published in

PloS one. Volume 20. Issue 5. Pages e0320045. Epub May 20, 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
Bibliographic data and abstract were imported from PubMed on 21 May 2025.

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