Extended Levett trigonometric series
R
Robert Reynolds
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.
Article Details
Journal
PLoS ONE
Volume / Issue
Vol. 20, Issue 5
Published
May 20, 2025
Pages
e0320045
ISSN
1932-6203
Publisher
Public Library of Science
Authors (1)
R
Robert Reynolds
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