Open Access
November 2024 Trigonometric series involving logarithmic function
Slobodan B. Tričković, Miomir S. Stanković
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Hiroshima Math. J. 54(3): 301-318 (November 2024). DOI: 10.32917/h2023010

Abstract

Extensions of the closed-form expressions for the series represented as a product of sine and logarithmic functions mentioned in reference [7] have been reformulated utilizing the Hurwitz zeta function and its first derivative. Furthermore, analogous closed-form expressions have been derived for these series that involve the cosine function instead.

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Slobodan B. Tričković. Miomir S. Stanković. "Trigonometric series involving logarithmic function." Hiroshima Math. J. 54 (3) 301 - 318, November 2024. https://doi.org/10.32917/h2023010

Information

Received: 14 November 2023; Revised: 7 February 2024; Published: November 2024
First available in Project Euclid: 9 November 2024

Digital Object Identifier: 10.32917/h2023010

Subjects:
Primary: 11M41
Secondary: 33B15

Keywords: Dirichlet η,λ,β functions , harmonic numbers , Hurwitz’s zeta function , Riemann’s Zeta function , the ψ function

Rights: Copyright © 2024 Hiroshima University, Mathematics Program

Vol.54 • No. 3 • November 2024
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