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Harmonic sums and integral representations
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Anthony Sofo
Veröffentlicht/Copyright:
30. Juli 2010
Abstract
In this paper we derive some identities of harmonic number sums with binomial coefficients, we also give integral representations for the sums. We recover some existing identities and introduce a number of new ones.
Keywords.: Harmonic numbers; zeta functions; binomial coefficients; combinatorial identities; double integral representations; series representations
Received: 2009-11-04
Revised: 2010-04-22
Published Online: 2010-07-30
Published in Print: 2010-December
© de Gruyter 2010
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- On multiobjective nonlinear programming with support functions
- Nirenberg-type problems in Banach lattices
- Semiinfinite multiobjective fractional programming, Part I: Sufficient efficiency conditions
- Some properties of certain meromorphically multivalent functions associated with the extended multiplier transformation
- BVP for Carathéodory inclusions in Hilbert spaces: sharp existence conditions and applications
- Remarks on the spectrum of a compact convex set of compact operators
- Harmonic sums and integral representations
- On a nonlinear dynamic integrodifferential equation on time scales
- An oscillation criteria for third order neutral delay differential equations
- On univalent functions defined by a generalized differential operator
Schlagwörter für diesen Artikel
Harmonic numbers;
zeta functions;
binomial coefficients;
combinatorial identities;
double integral representations;
series representations
Artikel in diesem Heft
- On multiobjective nonlinear programming with support functions
- Nirenberg-type problems in Banach lattices
- Semiinfinite multiobjective fractional programming, Part I: Sufficient efficiency conditions
- Some properties of certain meromorphically multivalent functions associated with the extended multiplier transformation
- BVP for Carathéodory inclusions in Hilbert spaces: sharp existence conditions and applications
- Remarks on the spectrum of a compact convex set of compact operators
- Harmonic sums and integral representations
- On a nonlinear dynamic integrodifferential equation on time scales
- An oscillation criteria for third order neutral delay differential equations
- On univalent functions defined by a generalized differential operator
