Families of Commuting Formal Power Series and Formal Functional Equations

• Autorzy: Harald Fripertinger , Ludwig Reich
• Języki publikacji: EN

Abstrakty

EN

In this paper we describe families of commuting invertible formal power series in one indeterminate over ℂ, using the method of formal functional equations. We give a characterization of such families where the set of multipliers (first coefficients) σ of its members F (x) = σx + . . . 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 Aczél-Jabotinsky differential equations, iteration groups, and on some results on normal forms of invertible series with respect to conjugation. (original abstract)

Słowa kluczowe

EN

Mathematics; Algebra; Functional equation; Differential equations

PL

Matematyka; Algebra; Równanie funkcyjne; Równania różniczkowe

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2021
• Tom: 35 (1)
• Strony: 55--76

Twórcy

autor

Harald Fripertinger

• University of Graz, Austria

autor

Ludwig Reich

• University of Graz, Austria

Bibliografia

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Identyfikatory

DOI

10.2478/amsil-2020-0020