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

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

tommy1729 Offline

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#49

09/09/2022, 12:24 AM

As for divergent summations I wanted to say something long ago but it was already said elsewhere :

" repeated borel summation "

@MISC {4246080,
TITLE = {Has someone seen a discussion of the (divergent) summation of \(\sum\limits_{k=0}^\infty (-1)^k (k!)^2 \)?},
AUTHOR = {Caleb Briggs (https://math.stackexchange.com/users/709...leb-briggs)},
HOWPUBLISHED = {Mathematics Stack Exchange},
NOTE = {URL:https://math.stackexchange.com/q/4246080 (version: 2021-09-30)},
EPRINT = {https://math.stackexchange.com/q/4246080},
URL = {https://math.stackexchange.com/q/4246080}
}

https://math.stackexchange.com/questions...limits-k-0

***

the validity of the borel summations matches the number of solutions for fractional iterates when taking in the correct direction.

nice.

***

sorry if im repeating said things , i have to catch up on reading ...

regards

tommy1729

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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

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