Work

On Closed Forms of Some Trigonometric Series

Year: 2024

Type: article

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.

Source: Axioms

DOI: 10.3390/axioms13090631

Authors: Slobodan B. Tričković, Miomir S. Stanković

Institutions: University of Nis, Serbian Academy of Sciences and Arts, Mathematical Institute of the Serbian Academy of Sciences and Arts

Language: English

Topic: Advanced Mathematical Identities

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,728

OpenAlex ID: W4402704002

FWCI: 1.121

Cites: 4

Cited by: 1

Related to: 10