Zhi Guo Liu
Affiliation: East China Normal University, Shanghai
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.
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Last update made Sun Feb 14 16:03:30 PST 2016.