Timeline for Are there any functions $f$ beyond trivial examples where $\int f(x +f(x + f(x +\dotsb)))\,dx$ $= F(x+F(x+F(x +\dotsb))) + C$ for some function $F$?

11 events

when toggle format	what		by	license	comment
Jan 9 at 0:02	vote	accept	gdoug
Dec 18, 2023 at 15:50	comment	added	Pietro Majer		I mean the convergence of the power solution series with $F'=af". It doesn't seem obvious to me that the formal series have positive radius of convergence.
Dec 18, 2023 at 12:40	comment	added	Fred Hucht		@PietroMajer convergence of the functional equation or convergence of the Taylor series? Anyway, I have not checked it.
Dec 18, 2023 at 12:39	history	edited	Fred Hucht	CC BY-SA 4.0	Added 2nd update
Dec 16, 2023 at 20:12	comment	added	Pietro Majer		What about convergence?
Dec 16, 2023 at 13:08	history	edited	Fred Hucht	CC BY-SA 4.0	Added ref. to https://mathoverflow.net/questions/417026
Dec 16, 2023 at 9:38	history	edited	Fred Hucht	CC BY-SA 4.0	minor
Dec 16, 2023 at 9:23	history	edited	Fred Hucht	CC BY-SA 4.0	Added update with e-function
Dec 15, 2023 at 12:09	history	edited	Fred Hucht	CC BY-SA 4.0	added 37 characters in body
Dec 15, 2023 at 11:21	history	edited	Fred Hucht	CC BY-SA 4.0	added MMA code
Dec 15, 2023 at 11:12	history	answered	Fred Hucht	CC BY-SA 4.0