A Short Proof of \(q\)-Binomial Theorem

Mingjin Wang1
1Department of Applied Mathematics, Changzhou University, Changzhou 213164, Jiancsu, P.R China

Abstract

In this paper, we show a short proof of the \( q \)-binomial theorem by Schützenberger’s identity with \( q \)-commuting variables.

Keywords: Schiitzenberger’s identity, g-binomial theorem, Tannery’s Theorem. Supported by the National Natural Science Foundation (grant 11271057) of China.