A new class of identities involving Cauchy numbers, harmonic numbers and zeta values
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Publication:427285
DOI10.1007/s11139-011-9361-7zbMath1276.11148OpenAlexW2146311107MaRDI QIDQ427285
Bernard Candelpergher, Marc-Antoine Coppo
Publication date: 13 June 2012
Published in: The Ramanujan Journal (Search for Journal in Brave)
Full work available at URL: https://hal.univ-cotedazur.fr/hal-00495767v9/file/ArtZetamod.pdf
Mellin transformBell polynomialszeta valuesharmonic numbersCauchy numbersRamanujan summationHermite's formulaLap\-la\-ce-Borel transform
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Cites Work
- Mellin transforms and asymptotics: Finite differences and Rice's integrals
- Explicit evaluation of Euler and related sums
- New expressions of Hasse and Hermite formulas for the Hurwitz zeta function
- Dixon's \(_3F_2(1)\)-series and identities involving harmonic numbers and the Riemann zeta function
- Ramanujan's summation method
- Some \(q\)-series identities related to divisor functions
- Ramanujan summation and the exponential generating function \(\sum_{k=0}^{\infty}\frac{z^{k}}{k!}\zeta'(-k)\)
- The Cauchy numbers
- Multiple zeta values, poly-Bernoulli numbers, and related zeta functions
- The Arakawa-Kaneko zeta function
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- Unnamed Item
- Unnamed Item
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