Geodesic
On a general \(q\)-identity
The electronic journal of combinatorics, Tome 21 (2014) no. 2
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In this paper, by means of the $q$-Rice formula we obtain a general $q$-identity which is a unified generalization of three kinds of identities. Some known results are special cases of ours. Meanwhile, some identities on $q$-generalized harmonic numbers are also derived.
DOI : 10.37236/3962
Classification : 05A19, 11B65
Mots-clés : \(q\)-Rice formula, \(q\)-identity, \(q\)-generalized harmonic number, Cauchy's integral formula, Faà di Bruno's formula 
@article{10_37236_3962,
     author = {Aimin Xu},
     title = {On a general \(q\)-identity},
     journal = {The electronic journal of combinatorics},
     year = {2014},
     volume = {21},
     number = {2},
     doi = {10.37236/3962},
     zbl = {1300.05042},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/3962/}
}
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Aimin Xu. On a general \(q\)-identity. The electronic journal of combinatorics, Tome 21 (2014) no. 2. doi: 10.37236/3962

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