• 0 Vote(s) - 0 Average
• 1
• 2
• 3
• 4
• 5
 Has anyone solved iterations of z+Γ(z)? Leo.W Junior Fellow Posts: 30 Threads: 3 Joined: Apr 2021 09/29/2021, 03:15 PM Just out of curiosity. Has anyone solved the complex continuous iterations of the function $f(z)=z+\Gamma(z)$? This will be very challenging because $\Gamma(z)$ has no zeros, and the zero in the directed complex infinity is non-Botcher-constructable. My thought is using a function to map the fixed point at $\pm{i}\infty$ to 0 with a specific function, may be the inverse of $g(z)=\sqrt{\frac{\pi}{\pm{i}z\sinh(\pm{i}\pi{z})}}$. « Next Oldest | Next Newest »

 Messages In This Thread Has anyone solved iterations of z+Γ(z)? - by Leo.W - 09/29/2021, 03:15 PM RE: Has anyone solved iterations of z+Γ(z)? - by Ember Edison - 09/29/2021, 07:52 PM RE: Has anyone solved iterations of z+Γ(z)? - by tommy1729 - 10/03/2021, 09:13 PM RE: Has anyone solved iterations of z+Γ(z)? - by tommy1729 - 10/03/2021, 09:17 PM RE: Has anyone solved iterations of z+Γ(z)? - by Leo.W - 01/05/2022, 06:23 PM RE: Has anyone solved iterations of z+Γ(z)? - by JmsNxn - 01/07/2022, 08:15 AM

 Possibly Related Threads... Thread Author Replies Views Last Post [MSE-SOLVED] Subfunction is functorial!!!! MphLee 14 3,935 06/06/2021, 11:16 PM Last Post: JmsNxn [MSE] Shape of orbit of iterations with base b on Shell-Thron-region Gottfried 14 19,069 12/13/2019, 02:33 PM Last Post: Ember Edison Math overflow question on fractional exponential iterations sheldonison 4 9,503 04/01/2018, 03:09 AM Last Post: JmsNxn Rational operators (a {t} b); a,b > e solved JmsNxn 30 69,762 09/02/2016, 02:11 AM Last Post: tommy1729 Periodic analytic iterations by Riemann mapping tommy1729 1 4,677 03/05/2016, 10:07 PM Last Post: tommy1729 Limit of mean of Iterations of f(x)=(ln(x);x>0,ln(-x) x<0) =-Omega constant for all x Ivars 10 23,412 03/29/2015, 08:02 PM Last Post: tommy1729 Zeta iterations Balarka Sen 11 20,848 02/26/2013, 09:49 AM Last Post: Gottfried Means and intermediate operations (was: Rational operators (a {t} b); a,b > e solved) Cherrina_Pixie 3 9,223 06/14/2011, 09:52 PM Last Post: JmsNxn 2 real fixpoints ... 3 iterations ? tommy1729 4 12,474 08/10/2009, 11:45 PM Last Post: bo198214 Functional super-iteration and hierarchy of functional hyper-iterations Base-Acid Tetration 24 48,472 05/12/2009, 07:11 AM Last Post: bo198214

Users browsing this thread: 1 Guest(s)