A master theorem of series and an evaluation of a cubic harmonic series

DOI10.7153/JCA-10-10zbMath1424.40045OpenAlexW2617624445MaRDI QIDQ4627834

Cornel Ioan Vălean

Publication date: 5 March 2019

Published in: Journal of Classical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/jca-10-10

zbMATH Keywords

Riemann zeta functionEuler sumsharmonic numbersAbel's summation formulamaster theorem of series

Mathematics Subject Classification ID

Convergence and divergence of series and sequences (40A05) Approximation to limiting values (summation of series, etc.) (40A25) Abel, Borel and power series methods (40G10)

Related Items (3)

Parametric binomial sums involving harmonic numbers ⋮ Unnamed Item ⋮ On the calculation of two essential harmonic series with a weight 5 structure, involving harmonic numbers of the type H_2n

Cites Work

• Euler Sums and Contour Integral Representations
• Reviving the quadratic series of Au-Yeung
• A new proof for a classical quadratic harmonic series
• Unnamed Item

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