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Power Series Solutions of Non-Linear q-Difference Equations and the Newton-Puiseux Polygon
Published 3 Sep 2012 in math.AG | (1209.0295v2)
Abstract: Adapting the Newton-Puiseux Polygon process to nonlinear q-difference equations of any order and degree, we compute their power series solutions, study the properties of the set of exponents of the solutions and give a bound for their $q-$Gevrey order in terms of the order of the original equation.
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