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

  • Bing He
DOI: https://doi.org/10.37236/4134
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].

Author Biography

Bing He, East China Norma University
Department of Mathematics, Shanghai Key Laboratory of PMMP
Published
2014-07-25
How to Cite
He, B. (2014). Some Identities involving the Partial Sum of $q$-Binomial Coefficients. The Electronic Journal of Combinatorics, 21(3), P3.17. https://doi.org/10.37236/4134
Issue
Volume 21, Issue 3 (2014)
Article Number
P3.17