Harmonic series with polygamma functions

DOI10.7153/jca-08-11zbMath1424.40044OpenAlexW2566183674MaRDI QIDQ4627802

Ovidiu Furdui

Publication date: 5 March 2019

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jca-08-11

zbMATH Keywords

Riemann zeta functionharmonic numberspolygamma functionAbel's summation formula

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Gamma, beta and polygamma functions (33B15) Hurwitz and Lerch zeta functions (11M35) Abel, Borel and power series methods (40G10)

Related Items (1)

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Cites Work

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• Explicit evaluation of Euler and related sums
• Limits, series, and fractional part integrals. Problems in mathematical analysis
• Extensions of Euler harmonic sums
• Series Involving Products of Two Harmonic Numbers
• Explicit evaluation of Euler sums
• On an Intriguing Integral and Some Series Related to ζ(4)

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