Half-integer values of the sums of harmonic numbers of order two
type: Item
instance of: scholarly article
title: Half-integer values of the sums of harmonic numbers of order two
zbMATH Open document ID: 1490.40002
published in: Ukrainian Mathematical Journal
publication date: 2019-02-27T00:00:00Z
Mathematics Subject Classification ID: 40A05
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 33B15
zbMATH DE Number: 7030308
zbMATH Keywords: sums of harmonic numbers
zbMATH Keywords: sums of reciprocal binomial coefficients
zbMATH Keywords: closed-form representations
zbMATH Keywords: integral expressions
author: Anthony Sofo
MaRDI profile type: Publication
full work available at URL: s11253-017-1316-8
OpenAlex ID: W2611354396
cites work: The evaluation of character Euler double sums
cites work: Values of the polygamma functions at rational arguments
cites work: Finite summation formulas involving binomial coefficients, harmonic numbers and generalized harmonic numbers
cites work: Some summation formulas involving harmonic numbers and generalized harmonic numbers
cites work: A Simple Computation of ζ (2k)
cites work: Euler Sums and Contour Integral Representations
cites work: The polygamma function \(\psi^{(k)}(x)\) for \(x={1\over 4}\) and \(x={3\over 4}\)
cites work: Harmonic number identities via hypergeometric series and Bell polynomials
cites work: A formula of S. Ramanujan
cites work: Sums of derivatives of binomial coefficients
cites work: Integral forms of sums associated with harmonic numbers
cites work: Q3605806
cites work: Q4457528
cites work: Identities for the harmonic numbers and binomial coefficients
cites work: Quadratic alternating harmonic number sums
cites work: Harmonic numbers and double binomial coefficients
cites work: Harmonic sums and integral representations
cites work: Summation formula involving harmonic numbers
cites work: Series associated with the zeta and related functions
cites work: Q3021451
cites work: Harmonic number identities via the Newton-Andrews method
cites work: Chu–Vandermonde convolution and harmonic number identities
cites work: Further summation formulae related to generalized harmonic numbers
DOI: 10.1007/S11253-017-1316-8
description: scientific article; zbMATH DE number 7030308