On the closed form of Clausen functions

DOI10.1080/10652469.2022.2149961MaRDI QIDQ6106402

Slobodan B. Tričković, Miomir S. Stanković

Publication date: 27 June 2023

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

zbMATH Keywords

digamma functionharmonic numbersRiemann's zeta functionHurwitz's zeta functionClausen functions

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Other functions defined by series and integrals (33E20) Hurwitz and Lerch zeta functions (11M35)

Cites Work

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• Formulae concerning the computation of the Clausen integral \(Cl_ 2(\theta)\)
• The Riemann zeta in terms of the dilogarithm
• A certain family of series associated with the zeta and related functions.
• Chebyshev coefficients for the Clausen function \(Cl_ 2(x)\)
• BERNOULLI POLYNOMIALS, FOURIER SERIES AND ZETA NUMBERS
• On the summation of Schlömilch's series

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