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Analytic solutions of a \(q\)-difference equation and applications to iterative equations. (English) Zbl 1067.39035

The authors study the existence of local invertible analytic solutions of a nonlinear q-difference equation in the complex field. The results are then applied to study the existence of analytic solutions of some iterative equations.

MSC:

39A13 Difference equations, scaling (\(q\)-differences)
39B12 Iteration theory, iterative and composite equations
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