An integral transform related to series involving alternating harmonic numbers

DOI10.1080/10652469.2017.1318874zbMath1376.33023OpenAlexW2609082739MaRDI QIDQ4978623

Anthony Sofo, John Maxwell Campbell

Publication date: 25 August 2017

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2017.1318874

zbMATH Keywords

integral transformharmonic numberRamanujan-like seriesalternating harmonic number

Mathematics Subject Classification ID

Gamma, beta and polygamma functions (33B15) Other functions defined by series and integrals (33E20)

Related Items (8)

Explicit expressions for some linear Euler-type sums containing harmonic and skew-harmonic numbers ⋮ Series containing squared central binomial coefficients and alternating harmonic numbers ⋮ General order Euler sums with multiple argument ⋮ Unnamed Item ⋮ Harmonic sums from the Kummer theorem ⋮ New series involving harmonic numbers and squared central binomial coefficients ⋮ On the interplay among hypergeometric functions, complete elliptic integrals, and Fourier-Legendre expansions ⋮ Series with harmonic-like numbers and squared binomial coefficients

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