Dixon's formula and identities involving harmonic numbers
Journal of integer sequences, Tome 14 (2011) no. 1
Inspired by the recent work of Chu and Fu, the authors derive some new identities with harmonic numbers from Dixon's hypergeometric summation formula by applying the derivation operator to the summation of binomial coefficients.
Classification :
11B65, 33C20
Keywords: binomial coefficients, harmonic numbers, derivation, hypergeometric series
Keywords: binomial coefficients, harmonic numbers, derivation, hypergeometric series
@article{JIS_2011__14_1_a6,
author = {Wang, Xiaoxia and Li, Mei},
title = {Dixon's formula and identities involving harmonic numbers},
journal = {Journal of integer sequences},
year = {2011},
volume = {14},
number = {1},
zbl = {1223.11021},
language = {en},
url = {http://geodesic.mathdoc.fr/item/JIS_2011__14_1_a6/}
}
Wang, Xiaoxia; Li, Mei. Dixon's formula and identities involving harmonic numbers. Journal of integer sequences, Tome 14 (2011) no. 1. http://geodesic.mathdoc.fr/item/JIS_2011__14_1_a6/