Some Identities involving the Partial Sum of $q$-Binomial Coefficients
Keywords: binomial coefficients, $q$-binomial coefficients, $q$-binomial theorem
AbstractWe 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].