POWER SERIES WITH SKEW-HARMONIC NUMBERS, DILOGARITHMS, AND DOUBLE INTEGRALS

DOI10.2478/tmmp-2013-0031zbMath1309.11020arXiv1701.04484OpenAlexW2092763996MaRDI QIDQ5402647

Khristo N. Boyadzhiev

Publication date: 14 March 2014

Published in: Tatra Mountains Mathematical Publications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04484

zbMATH Keywords

dilogarithmtrilogarithmharmonic numbersdouble integralsskew-harmonic numbers

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Approximation to limiting values (summation of series, etc.) (40A25) Evaluation of number-theoretic constants (11Y60) Higher logarithm functions (33B30)

Related Items (8)

Explicit expressions for some linear Euler-type sums containing harmonic and skew-harmonic numbers ⋮ Infinite triple series by integrals ⋮ Unnamed Item ⋮ Triple series evaluated in \(\pi\) and \(\ln 2\) as well as Catalan's constant \(G\) ⋮ Cubic and quartic series with the tail of $\ln 2$ ⋮ Harmonic number identities via polynomials with \(r\)-Lah coefficients ⋮ Unnamed Item ⋮ Explicit evaluation of some quadratic Euler-type sums containing double-index harmonic numbers

Cites Work

• Unnamed Item
• Unnamed Item
• On some series containing \(\psi{}(x)-\psi{}(y)\) and \((\psi{}(x)- \psi{}(y))^ 2\) for certain values of \(x\) and \(y\)
• Limits, series, and fractional part integrals. Problems in mathematical analysis
• Evaluation of one exotic Furdui type series
• A Note on the Irrationality of ζ(2) and ζ(3)

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