On closed forms of some trigonometric series
Classical Analysis and ODEs
2024-07-19 v1
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.
Keywords
Cite
@article{arxiv.2407.12885,
title = {On closed forms of some trigonometric series},
author = {Slobodan B. Tričković and Miomir S. Stanković},
journal= {arXiv preprint arXiv:2407.12885},
year = {2024}
}