The Pad\'e interpolation method applied to q-Painlev\'e equations
Abstract
We establish interpolation problems related to all the q-Painlev\'e equations of types from E7(1) to (A2+A1)(1). By solving those problems, we can derive the evolution equations, the scalar Lax pairs and the determinant formulae of special solutions for the corresponding q-Painlev\'e equations.
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