# Zhi Guo Liu

Affiliation: East China Normal University, Shanghai

Email: liuzg@hotmail.com

Title Of Talk: A system of $q$-partial differential equations and $q$-polynomials

Abstract: We introduce a system of $q$-partial differential equations and prove that if an analytic function in several variables satisfies these $q$-partial differential equations, then, it can be expanded in terms of the product of some homogeneous polynomials. A few applications of this expansion theorem to $q$-series are discussed.