Summation formulae in relation to Euler sums

DOI10.1080/10652469.2017.1293669zbMath1388.05010OpenAlexW2591282033MaRDI QIDQ5269319

Jizhen Yang, Yun-Peng Wang

Publication date: 15 June 2017

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

Full work available at URL: https://doi.org/10.1080/10652469.2017.1293669

zbMATH Keywords

harmonic numberssummation formulaeRiemann zeta functions

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) Gamma, beta and polygamma functions (33B15) Numerical summation of series (65B10)

Related Items (5)

Euler sums of generalized harmonic numbers and connected extensions ⋮ Alternating cubic Euler sums with binomial squared terms ⋮ General order Euler sums with multiple argument ⋮ On evaluations of Euler-type sums of hyperharmonic numbers ⋮ Evaluations of sums involving harmonic numbers and binomial coefficients

Cites Work

• Summation formula involving harmonic numbers
• Series representations for \(\gamma\) and other mathematical constants
• Automatic generation of hypergeometric identities by the beta integral method.
• Sums of derivatives of binomial coefficients
• Series representations for some mathematical constants
• Extensions of Euler harmonic sums
• Some more identities involving rational sums
• Some New Formulas for π

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