# Some Identities involving the Partial Sum of $q$-Binomial Coefficients

Keywords:
binomial coefficients, $q$-binomial coefficients, $q$-binomial theorem

### Abstract

We give some identities involving sums of powers of the partial sum of $q$-binomial coefficients, which are $q$-analogues of Hirschhorn's identities [*Discrete Math.*159 (1996), 273-278] and Zhang's identity [

*Discrete Math.*196 (1999), 291-298].