Euler-related sums
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Publication:1953775
DOI10.1186/2251-7456-6-10zbMath1285.11031OpenAlexW1973147382WikidataQ59289111 ScholiaQ59289111MaRDI QIDQ1953775
Publication date: 10 June 2013
Published in: Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/2251-7456-6-10
binomial coefficientsharmonic numberspolygamma functionscombinatorial series identitiespartial fraction approach
Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Binomial coefficients; factorials; (q)-identities (11B65) (zeta (s)) and (L(s, chi)) (11M06) Gamma, beta and polygamma functions (33B15)
Cites Work
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- Identities for the harmonic numbers and binomial coefficients
- Summation formula involving harmonic numbers
- Riordan arrays and harmonic number identities
- Certain summation formulas involving harmonic numbers and generalized harmonic numbers
- Some families of combinatorial and other series identities and their applications
- A pair of operator summation formulas and their applications
- Sums of derivatives of binomial coefficients
- Generalized harmonic numbers with Riordan arrays
- Further summation formulae related to generalized harmonic numbers
- Harmonic sums and integral representations
- Extensions of Euler harmonic sums
- Gaussian Hypergeometric series and supercongruences
- Experimental Evaluation of Euler Sums
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