2024/07/16 by Slobodan B. Tričković, Tričković, Slobodan B., Miomir S. Stanković +1
Mathematics · #Approximation Theory and Sequence Spaces #advanced mathematical theories #Mathematical Approximation and Integration
paper · pdf · doi:10.48550/arxiv.2407.12885
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.