New families of alternating harmonic number sums
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Publication:500199
DOI10.1515/tmj-2015-0022zbMath1321.05008OpenAlexW2567703260MaRDI QIDQ500199
Publication date: 1 October 2015
Published in: Tbilisi Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/tmj-2015-0022
integral representationsummation formulasbinomial coefficientsalternating harmonic numberscombinatorial series identitiespartial fraction approach
Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Generalized hypergeometric series, ({}_pF_q) (33C20)
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Parametric binomial sums involving harmonic numbers ⋮ Evaluation of integrals with hypergeometric and logarithmic functions ⋮ General order Euler sums with multiple argument ⋮ Unnamed Item ⋮ Efficient approximations of finite and infinite real alternating p -series
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