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 Derivative of exp^[1/2] at the fixed point? sheldonison Long Time Fellow Posts: 633 Threads: 22 Joined: Oct 2008 12/31/2015, 11:02 AM (This post was last modified: 01/01/2016, 04:34 PM by sheldonison.) I updated some of the equations in post#6 So then we have a conjectured equation for the real valued Kneser half iterate in terms of the formal half iterate which is as follows edit: fixed typos $h_k(z) = h(z)\; +\; \sum_{n=1}^{\infty} \left( \sum_{m=0}^{\infty}c_{nm}\cdot(z-L)^{np+m} \right)\;\;\;\;p = \frac{2\pi i}{L} \approx 4.44695+1.05794i\;\;$ p is the pseudo period of sexp I think this is a complete form for the Kneser half iterate. Next I would like to calculate some of the $c_{10}, c_{11}, c_{12}...$ terms to test this equation out, as well as the $c_{20}$ term. The value and the first four derivatives of this equation are zero; the adder delta equation for the Kneser half iterate in terms of the formal half iterate. - Sheldon « Next Oldest | Next Newest »

 Messages In This Thread Derivative of exp^[1/2] at the fixed point? - by sheldonison - 12/23/2015, 04:39 PM RE: Derivative of exp^[1/2] at the fixed point? - by sheldonison - 12/24/2015, 03:25 AM RE: Derivative of exp^[1/2] at the fixed point? - by sheldonison - 12/25/2015, 04:05 PM RE: Derivative of exp^[1/2] at the fixed point? - by andydude - 12/27/2015, 11:15 AM RE: Derivative of exp^[1/2] at the fixed point? - by sheldonison - 12/27/2015, 11:40 PM RE: Derivative of exp^[1/2] at the fixed point? - by andydude - 12/29/2015, 10:51 PM RE: Derivative of exp^[1/2] at the fixed point? - by sheldonison - 12/29/2015, 10:25 PM RE: Derivative of exp^[1/2] at the fixed point? - by sheldonison - 12/31/2015, 11:02 AM RE: Derivative of exp^[1/2] at the fixed point? - by tommy1729 - 12/31/2015, 01:25 PM RE: Derivative of exp^[1/2] at the fixed point? - by sheldonison - 01/01/2016, 03:58 PM RE: Derivative of exp^[1/2] at the fixed point? - by tommy1729 - 12/30/2015, 01:27 PM

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