Geodesic
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 
@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/}
}
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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/