Published: 2020-10-06

Families of commuting formal power series and formal functional equations

Harald Fripertinger Logo ORCID , Ludwig Reich

Abstract

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.

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Fripertinger, H., & Reich, L. (2020). Families of commuting formal power series and formal functional equations. Annales Mathematicae Silesianae, 35(1), 55–76. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13474

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Domyślna okładka

Vol. 35 No. 1 (2021)
Published: 2021-02-10


ISSN: 0860-2107
eISSN: 2391-4238
Ikona DOI 10.1515/amsil

Publisher
University of Silesia Press

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