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Extended Levett trigonometric series

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  • 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.

Suggested Citation

  • Robert Reynolds, 2025. "Extended Levett trigonometric series," PLOS ONE, Public Library of Science, vol. 20(5), pages 1-33, May.
    • Handle: RePEc:plo:pone00:0320045
    DOI: 10.1371/journal.pone.0320045
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