Series Involving Products of Two Harmonic Numbers

DOI10.4169/math.mag.84.5.371zbMath1246.11067OpenAlexW3632061MaRDI QIDQ2911531

Ovidiu Furdui

Publication date: 31 August 2012

Published in: Mathematics Magazine (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4169/math.mag.84.5.371

zbMATH Keywords

dilogarithm functionharmonic numbersnonlinear harmonic sums

Mathematics Subject Classification ID

Special sequences and polynomials (11B83) Number theory (educational aspects) (97F60)

Related Items (10)

Extension of the four Euler sums being linear with parameters and series involving the zeta functions ⋮ On identities involving generalized harmonic, hyperharmonic and special numbers with Riordan arrays ⋮ Euler sums and Stirling sums ⋮ Explicit formulas of Euler sums via multiple zeta values ⋮ In the shadow of Euler's greatness: adventures in the rediscovery of an intriguing sum ⋮ Reviving the quadratic series of Au-Yeung ⋮ Harmonic series with polygamma functions ⋮ Unnamed Item ⋮ Four parametric linear Euler sums ⋮ Explicit evaluation of some quadratic Euler-type sums containing double-index harmonic numbers

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