Analyticity properties of the Feigenbaum function

https://repo-archives.ihes.fr/FONDS_IHES/I_Prepublications/EPSTEIN/Depuis_1964/P_81_27/P_81_27.pdf

Epstein, Henri

EPSTEIN

05/1981

Absract : Analyticity properties of the Feigenbaum function [a solution ofg(x)=???1g(g(?x)) withg(0)=1,g?(0)=0,g?(0)<0] are investigated by studying its inverse function which turns out to be Herglotz or anti-Herglotz on all its sheets. It is found thatg is analytic and uniform in a domain with a natural boundary.

RESEAUX CEREBRAUX

P/81/27

©IHES

Citer ce document

EPSTEIN et LASCOUX, “Analyticity properties of the Feigenbaum function,” Archives de l'IHES, consulté le 17 juin 2024, https://omeka.ihes.fr/document/P_81_27.pdf.