Certain summation formulas involving harmonic numbers and generalized harmonic numbers
type: Item
instance of: scholarly article
title: Certain summation formulas involving harmonic numbers and generalized harmonic numbers
zbMATH Open document ID: 1236.40002
author: Junesang Choi
published in: Applied Mathematics and Computation
publication date: 2011-11-22T00:00:00Z
review text: New identities about certain finite or infinite series involving harmonic numbers and generalized harmonic numbers are established.
reviewed by: Cristinel Mortici
Mathematics Subject Classification ID: 40A05
Mathematics Subject Classification ID: 65B15
zbMATH DE Number: 5976165
zbMATH Keywords: harmonic numbers
zbMATH Keywords: generalized harmonic numbers
zbMATH Keywords: Riemann zeta function
zbMATH Keywords: Hurwitz zeta function
zbMATH Keywords: Stirling numbers
zbMATH Keywords: psi function
zbMATH Keywords: hypergeometric functions
zbMATH Keywords: polygamma function
describes a project that uses: MultiSum
MaRDI profile type: Publication
full work available at URL: j.amc.2011.01.062
OpenAlex ID: W2088730553
cites work: Some series of the zeta and related functions
cites work: Series representations for some mathematical constants
cites work: Series involving the zeta function and multiple Gamma functions
cites work: Certain classes of infinite series
cites work: Explicit evaluation of Euler and related sums
cites work: Some applications of the Gamma and polygamma functions involving convolutions of the Rayleigh functions, multiple Euler sums and log-sine integrals
cites work: Hypergeometric series and the Riemann zeta function
cites work: Hypergeometric series and harmonic number identities
cites work: On some series representations of the Hurwitz zeta function
cites work: Q4882943
cites work: The Dattoli-Srivastava conjectures concerning generating functions involving the harmonic numbers
cites work: A note on harmonic numbers, umbral calculus and generating functions
cites work: On differences of zeta values
cites work: Q4040797
cites work: Mathematics for the Analysis of Algorithms.
cites work: A computer proof of a series evaluation in terms of harmonic numbers
cites work: Computer proofs of a new family of harmonic number identities.
cites work: Some completely monotonic functions involving polygamma functions and an application
cites work: Remarks on Some Integrals and Series Involving the Stirling Numbers and ζ(n)
cites work: Q5508372
cites work: Combinatorial sums and finite differences
cites work: Series associated with the zeta and related functions
cites work: Further summation formulae related to generalized harmonic numbers
DOI: 10.1016/J.AMC.2011.01.062
description: scientific article; zbMATH DE number 5976165