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On Closed Forms of Some Trigonometric Series
1
Department of Mathematics, University of Niš, 18000 Niš, Serbia
2
Mathematical Institute of Serbian Academy of Sciences and Arts, 11000 Belgrade, Serbia
*
Author to whom correspondence should be addressed.
Axioms 2024, 13(9), 631; https://doi.org/10.3390/axioms13090631 (registering DOI)
Submission received: 15 August 2024
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Revised: 11 September 2024
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Accepted: 13 September 2024
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Published: 14 September 2024
(This article belongs to the Special Issue Special Functions and Related Topics)
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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MDPI and ACS Style
Tričković, S.B.; Stanković, M.S. On Closed Forms of Some Trigonometric Series. Axioms 2024, 13, 631. https://doi.org/10.3390/axioms13090631
AMA Style
Tričković SB, Stanković MS. On Closed Forms of Some Trigonometric Series. Axioms. 2024; 13(9):631. https://doi.org/10.3390/axioms13090631
Chicago/Turabian StyleTričković, Slobodan B., and Miomir S. Stanković. 2024. "On Closed Forms of Some Trigonometric Series" Axioms 13, no. 9: 631. https://doi.org/10.3390/axioms13090631
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