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arXiv · 2407.12885

On closed forms of some trigonometric series

Slobodan B. Tričković·Miomir S. Stanković
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Abstract

We have derived alternative closed-form formulas for the trigonometric series over sine or cosine functions when the immediate replacement of the parameter appearing in the denominator with a positive integer gives rise to a singularity. By applying the Choi-Srivastava theorem, we reduce these trigonometric series to expressions over Hurwitz's zeta function derivative.

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Slobodan B. Tričković, Miomir S. Stanković. 2024-07-16. On closed forms of some trigonometric series. https://arxiv.org/abs/2407.12885

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