Harmonic number identities via Euler's transform
Journal of integer sequences, Tome 12 (2009) no. 6
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.
Classification :
05A20, 11B73
Keywords: harmonic numbers, binomial transform, Euler transform, Stirling number of the second kind, Stirling function, combinatorial identity, polylogarithm, dilcher's formula
Keywords: harmonic numbers, binomial transform, Euler transform, Stirling number of the second kind, Stirling function, combinatorial identity, polylogarithm, dilcher's formula
Boyadzhiev, Khristo N. Harmonic number identities via Euler's transform. Journal of integer sequences, Tome 12 (2009) no. 6. http://geodesic.mathdoc.fr/item/JIS_2009__12_6_a0/
@article{JIS_2009__12_6_a0,
author = {Boyadzhiev, Khristo N.},
title = {Harmonic number identities via {Euler's} transform},
journal = {Journal of integer sequences},
year = {2009},
volume = {12},
number = {6},
zbl = {1213.11054},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2009__12_6_a0/}
}