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 equations
is a completely new research topic, which reveal some surpring connections
between several branches of mathematics such as q-series, number theory and
analytic functions of several complex variables. In this talk, I will intoduce
some research results in the q-partial differential equations with applications.

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