Euler sums of generalized harmonic numbers and connected extensions
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Publication:6195503
DOI10.2298/aadm210122014carXiv2006.00620OpenAlexW3139224258MaRDI QIDQ6195503
Levent Kargin, Gültekin Soylu, Ayhan Dil, Mümün Can
Publication date: 14 March 2024
Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2006.00620
(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Special sequences and polynomials (11B83)
Cites Work
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- Euler sums and integrals of polylogarithm functions
- On the evaluation of Tornheim sums and allied double sums
- Euler sums of hyperharmonic numbers
- Summation formula involving harmonic numbers
- On Stirling numbers and Euler sums
- The \(r\)-Stirling numbers
- Explicit evaluation of Euler and related sums
- Hyperharmonic series involving Hurwitz zeta function
- Evaluation of triple Euler sums
- On some log-cosine integrals related to \(\zeta(3), \zeta(4)\), and \(\zeta(6)\).
- Consecutive evaluation of Euler sums
- Euler sums and Stirling sums
- Theory and computation of Euler sums of generalized hyperharmonic numbers
- Summation formulas involving binomial coefficients, harmonic numbers, and generalized harmonic numbers
- General order Euler sums with multiple argument
- Absolute series for higher Euler constants
- On Eulerian log-gamma integrals and Tornheim-Witten zeta functions
- Four parametric linear Euler sums
- A family of shifted harmonic sums
- The \(r\)-Lah numbers
- On one-dimensional digamma and polygamma series related to the evaluation of Feynman diagrams
- Summation formulae involving harmonic numbers
- Harmonic sums and integral representations
- Extensions of Euler harmonic sums
- Signed $q$-analogs of Tornheim's double series
- Evaluation of Euler-like sums via Hurwitz zeta values
- Notes on the Binomial Transform
- Euler sums of generalized hyperharmonic numbers
- Explicit evaluation of Euler sums
- On the Evaluation of Euler Sums
- On Tornheim's double series
- Euler sums and non-integerness of harmonic type sums
- Summation formulae in relation to Euler sums
- POLYLOGARITHMIC CONNECTIONS WITH EULER SUMS
- SHIFTED HARMONIC SUMS OF ORDER TWO
- Some evaluation of harmonic number sums
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