Repeated Differentiation Leading to Tetrationally Fast Growth

Linear Mode

Repeated Differentiation Leading to Tetrationally Fast Growth

Catullus Offline

Fellow

Posts: 213
Threads: 47
Joined: Jun 2022

07/13/2022, 02:45 AM (This post was last modified: 08/14/2022, 11:09 PM by Catullus.)

Does anyone know of a function $[Image: png.image?\dpi%7B110%7D%20f(x)]$ , such that $[Image: png.image?\dpi%7B110%7D%20\frac%7B\mathrm%7Bd%7D%7D%7B...d%7Dk%7D%5Exf(k)]$ grows like $[Image: png.image?\dpi%7B110%7D%20a\uparrow\uparrow%20x]$ , for a real a, and for a fixed k?

Please remember to stay hydrated.
ฅ(ﾐ⚈ ﻌ ⚈ﾐ)ฅ Sincerely: Catullus /ᐠ_ ꞈ _ᐟ\

Find

« Next Oldest | Next Newest »

Messages In This Thread

Repeated Differentiation Leading to Tetrationally Fast Growth - by Catullus - 07/13/2022, 02:45 AM

RE: Repeated Differentiation Leading to Tetrationally Fast Growth - by Daniel - 07/13/2022, 08:43 AM

RE: Repeated Differentiation Leading to Tetrationally Fast Growth - by MphLee - 07/13/2022, 10:32 AM

RE: Repeated Differentiation Leading to Tetrationally Fast Growth - by JmsNxn - 07/13/2022, 07:00 PM

RE: Repeated Differentiation Leading to Tetrationally Fast Growth - by Catullus - 07/14/2022, 08:37 AM

RE: Repeated Differentiation Leading to Tetrationally Fast Growth - by tommy1729 - 07/16/2022, 07:26 AM

Possibly Related Threads…
Thread		Author	Replies	Views	Last Post
	my proposed extension of the fast growing hierarchy to real numbers	Alex Zuma 2025	0	1,322	09/28/2025, 07:15 PM Last Post: Alex Zuma 2025
	How fast are these type of sums ?	tommy1729	5	6,987	02/17/2023, 11:48 PM Last Post: tommy1729
	logit coefficients growth pattern	bo198214	21	24,240	09/09/2022, 03:00 AM Last Post: tommy1729
	Half-iterate exp(z)-1: hypothese on growth of coefficients	Gottfried	48	53,145	09/09/2022, 12:24 AM Last Post: tommy1729
	Trying to find a fast converging series of normalization constants; plus a recap	JmsNxn	0	3,548	10/26/2021, 02:12 AM Last Post: JmsNxn
	How fast does this grow ??	tommy1729	0	4,982	11/13/2017, 02:06 AM Last Post: tommy1729
	Between exp^[h] and elementary growth	tommy1729	0	5,206	09/04/2017, 11:12 PM Last Post: tommy1729
	Growth rate of the recurrence x(n+1) = x(n) + (arcsinh( x/2 ))^[1/2] ( x(n) )?	tommy1729	0	5,644	04/29/2013, 11:29 PM Last Post: tommy1729
	Growth of superexponential	Balarka Sen	7	26,588	03/06/2013, 11:55 PM Last Post: tommy1729
	General question on function growth	dyitto	2	12,175	03/08/2011, 04:41 PM Last Post: dyitto

View a Printable Version

Users browsing this thread: 1 Guest(s)

Login
Username:
Password:	Lost Password?
	Remember me