CLOSED FORM REPRESENTATIONS OF HARMONIC SUMS

Year 2010, Volume: 39 Issue: 2, 255 - 263, 01.02.2010

Anthony Sofo

Abstract

CLOSED FORM REPRESENTATIONS OF HARMONIC SUMS

Abstract

We develop a master theorem from which we are able to represent infinite sums of harmonic numbers and binomial coefficients in both integral and closed form. The new results extend known existing results in the published literature.

Keywords

Harmonic numbers, Zeta functions, Binomial coefficients, Integral representations, 2000 AMS Classification: Primary: 05 A 10; Secondary: 33 C 20

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