Half-iterate exp(z)-1: hypothese on growth of coefficients

Linear Mode

Half-iterate exp(z)-1: hypothese on growth of coefficients

bo198214 Offline

Administrator

Posts: 1,631
Threads: 107
Joined: Aug 2007

#24

08/12/2022, 05:31 PM

(08/12/2022, 05:25 PM)Leo.W Wrote: It's branket notation, only for convenience to represent the coefficient of a specific term, for example let \(f(z)=z^3+2z^2-z+5-\frac{\pi}{z^2}\)
then \([z^3]f(z)=1\)
\([z^2]f(z)=2\)
\([z^1]f(z)=-1\)
\([1]f(z)=5\)
\([z^{-2}]f(z)=-\pi\)

Never heard about that, but easy to understand Smile

Website Find

« Next Oldest | Next Newest »

Messages In This Thread

Half-iterate exp(z)-1: hypothese on growth of coefficients - by Gottfried - 07/19/2022, 08:11 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by MphLee - 07/19/2022, 09:40 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Gottfried - 07/19/2022, 10:19 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by MphLee - 07/21/2022, 12:15 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Gottfried - 07/21/2022, 01:13 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by MphLee - 07/21/2022, 02:18 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by JmsNxn - 07/20/2022, 10:49 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Gottfried - 07/21/2022, 07:30 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by JmsNxn - 07/22/2022, 01:44 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Gottfried - 07/22/2022, 02:57 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by JmsNxn - 07/24/2022, 02:23 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by tommy1729 - 08/06/2022, 09:56 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Gottfried - 08/07/2022, 09:19 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by tommy1729 - 08/06/2022, 10:14 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by JmsNxn - 08/07/2022, 09:51 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Leo.W - 08/10/2022, 02:12 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by JmsNxn - 08/11/2022, 03:28 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Leo.W - 08/11/2022, 07:03 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Gottfried - 08/11/2022, 01:26 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by tommy1729 - 08/12/2022, 01:47 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by JmsNxn - 08/15/2022, 05:24 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by JmsNxn - 08/18/2022, 04:48 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Leo.W - 08/18/2022, 11:37 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by bo198214 - 08/18/2022, 06:25 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Leo.W - 08/19/2022, 04:36 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by bo198214 - 08/19/2022, 06:26 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Leo.W - 08/28/2022, 01:41 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by bo198214 - 08/28/2022, 03:45 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by bo198214 - 08/29/2022, 05:05 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by bo198214 - 08/18/2022, 08:01 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by tommy1729 - 08/18/2022, 12:17 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by bo198214 - 08/18/2022, 07:05 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Gottfried - 08/18/2022, 07:44 PM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by JmsNxn - 08/19/2022, 05:12 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Leo.W - 08/19/2022, 05:24 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by JmsNxn - 08/19/2022, 05:35 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Leo.W - 08/19/2022, 05:54 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by JmsNxn - 08/19/2022, 06:17 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Leo.W - 08/19/2022, 06:54 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by JmsNxn - 08/19/2022, 07:05 AM

RE: Half-iterate exp(z)-1: hypothese on growth of coefficients - by Leo.W - 08/19/2022, 07:57 AM

RE: Parabolic Formal Powerseries - by tommy1729 - 09/09/2022, 12:24 AM

Possibly Related Threads…
Thread		Author	Replies	Views	Last Post
	logit coefficients growth pattern	bo198214	21	24,319	09/09/2022, 03:00 AM Last Post: tommy1729
	Repeated Differentiation Leading to Tetrationally Fast Growth	Catullus	5	8,080	07/16/2022, 07:26 AM Last Post: tommy1729
	Why the beta-method is non-zero in the upper half plane	JmsNxn	0	3,304	09/01/2021, 01:57 AM Last Post: JmsNxn
	Half-iterates and periodic stuff , my mod method [2019]	tommy1729	0	5,165	09/09/2019, 10:55 PM Last Post: tommy1729
	Approximation to half-iterate by high indexed natural iterates (base on ShlThrb)	Gottfried	1	7,590	09/09/2019, 10:50 PM Last Post: tommy1729
	Between exp^[h] and elementary growth	tommy1729	0	5,212	09/04/2017, 11:12 PM Last Post: tommy1729
	Does tetration take the right half plane to itself?	JmsNxn	7	23,930	05/16/2017, 08:46 PM Last Post: JmsNxn
	Half-iteration of x^(n^2) + 1	tommy1729	3	14,150	03/09/2017, 10:02 PM Last Post: Xorter
	Uniqueness of half-iterate of exp(x) ?	tommy1729	14	53,246	01/09/2017, 02:41 AM Last Post: Gottfried
	Taylor polynomial. System of equations for the coefficients.	marraco	17	52,274	08/23/2016, 11:25 AM Last Post: Gottfried

View a Printable Version

Users browsing this thread: 30 Guest(s)

Login
Username:
Password:	Lost Password?
	Remember me