On a General $q$-Identity

  • Aimin Xu
DOI: https://doi.org/10.37236/3962
Keywords: $q$-Rice formula, $q$-identity, $q$-generalized harmonic number, Cauchy's integral formula, Faà di Bruno's formula

Abstract

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.
Published
2014-05-09
How to Cite
Xu, A. (2014). On a General $q$-Identity. The Electronic Journal of Combinatorics, 21(2), P2.28. https://doi.org/10.37236/3962
Issue
Volume 21, Issue 2 (2014)
Article Number
P2.28