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Abstract |
A q-partial derivative of a function of several variables is its q-derivative with respect to one of these variables, regarding other variables as constants. A q-partial differential equation is an equation containing unknown multivariable functions and their q-partial derivatives, which is a q-extension of the ordinary partial differential equation. The q-partial differential equation is a completely new research topic, which reveal some surpring connections between q-series and the analytic functions of several complex variables. In this talk, I will intoduce some researchresults in the q-partial differential equations. |
