Abstract
Abstract In this paper we describe families of commuting invertible formal power series in one indeterminate over â, using the method of formal functional equations. We give a characterization of such families where the set of multipliers (first coefficients) Ï of its members F (x) = Ïx + . . . is infinite, in particular of such families which are maximal with respect to inclusion, so called families of type I. The description of these families is based on AczĂ©lâJabotinsky differential equations, iteration groups, and on some results on normal forms of invertible series with respect to conjugation.
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