New results containing quadratic harmonic numbers

DOI10.7153/jca-09-12zbMath1424.05010OpenAlexW2567512793MaRDI QIDQ4627820

Anthony Sofo

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-09-12

zbMATH Keywords

integral identityharmonic numberssummation formulaecombinatorial series identitiespartial fraction approachHurwitz-Lerch transcendent

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) (zeta (s)) and (L(s, chi)) (11M06) Generalized hypergeometric series, ({}_pF_q) (33C20) Special sequences and polynomials (11B83)

Related Items (1)

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Cites Work

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• Summation formula involving harmonic numbers
• The evaluation of character Euler double sums
• Quadratic alternating harmonic number sums
• Harmonic sums and integral representations
• Extensions of Euler harmonic sums
• Finite Mixed Sums wih Harmonic Terms
• Euler Sums and Contour Integral Representations
• Reviving the quadratic series of Au-Yeung
• A new proof for a classical quadratic harmonic series
• Explicit evaluation of Euler sums
• Mixed binomial sum identities

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