Using the theory of functions of several variables and q-calculus, we prove
an expansion theorem for the analytic function in several variables which
satisfies a system of q-partial differential equations. Some curious
applications of this expansion theorem to q-series are discussed. In
particular, an extension of Andrews' transformation formula for the
q-Lauricella function is given.Comment: 15 pages, accepted for the proceedings of the Alladi 60th birthday
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