Journal of Integer Sequences, Vol. 12 (2009), Article 09.6.1

Harmonic Number Identities Via Euler's Transform

Khristo N. Boyadzhiev
Department of Mathematics
Ohio Northern University
Ada, Ohio 45810


We evaluate several binomial transforms by using Euler's transform for power series. In this way we obtain various binomial identities involving power sums with harmonic numbers.

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Received June 12 2009; revised version received July 25 2009. Published in Journal of Integer Sequences, August 30 2009.

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