Summation formula involving harmonic numbers

DOI10.1007/s10476-011-0103-2zbMath1240.33006OpenAlexW2117478426MaRDI QIDQ555513

Anthony Sofo

Publication date: 22 July 2011

Published in: Analysis Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10476-011-0103-2

zbMATH Keywords

summation formula

Mathematics Subject Classification ID

Binomial coefficients; factorials; (q)-identities (11B65) Gamma, beta and polygamma functions (33B15) Generalized hypergeometric series, ({}_pF_q) (33C20) Numerical summation of series (65B10)

Related Items

Integrals of inverse trigonometric and polylogarithmic functions ⋮ Parametric binomial sums involving harmonic numbers ⋮ Identities for alternating inverse squared binomial and harmonic number sums ⋮ Finite Mixed Sums wih Harmonic Terms ⋮ Identities for Reciprocal Binomials ⋮ Euler sums of generalized harmonic numbers and connected extensions ⋮ Euler-related sums ⋮ Sums of quadratic half integer harmonic numbers of alternating type ⋮ New results containing quadratic harmonic numbers ⋮ Half-integer values of the sums of harmonic numbers of order two ⋮ Zeta identities in parameter form ⋮ New families of alternating harmonic number sums ⋮ Mixed binomial sum identities ⋮ Harmonic number identities via the Newton-Andrews method ⋮ Harmonic numbers at half integer values ⋮ On evaluations of Euler-type sums of hyperharmonic numbers ⋮ Integrals of polylogarithmic functions with alternating argument ⋮ Harmonic Numbers of Any Order and the Wolstenholme’s-Type Relations for Harmonic Numbers ⋮ Evaluations of sums involving harmonic numbers and binomial coefficients ⋮ A family of shifted harmonic sums ⋮ Summation formulae in relation to Euler sums

Uses Software

• Mathematica

Cites Work

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