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 Equations for Kneser sexp algorithm sheldonison Long Time Fellow Posts: 683 Threads: 24 Joined: Oct 2008 06/14/2011, 03:00 PM (This post was last modified: 06/14/2011, 03:02 PM by sheldonison.) (06/13/2011, 01:12 PM)bo198214 Wrote: Ahhh! Now I understand $\lim_{z\to i\infty} e^{2n\pi i z} = 0$ you choose *the* $\theta$ that that decays towards ioo. Is this a uniqueness criterion for $\theta$? I mean that $\text{superf}(z+\theta(z))$ is a real analytic superfunction and $\theta$ decays towards $i\infty$. Could be, ha?Its definitely a uniqueness criterion. Another way to think about it is from the point of view that $\theta(z)$ is connected to Kneser's unique Riemann mapping, since $\rho^{-1}(z)=\theta(z)+z$. But yes, any sexp(z) solution would either be the unique solution, with $\theta(z)$ exponentially decaying to a constant as $z\to+i\infty$, or else if it is any other solution, than $\theta(z)$ grows exponentially as $z\to+i\infty$. - Sheldon « Next Oldest | Next Newest »

 Messages In This Thread Equations for Kneser sexp algorithm - by sheldonison - 08/08/2010, 07:14 PM RE: Equations for Kneser sexp algorithm - by sheldonison - 08/08/2010, 08:29 PM RE: Equations for Kneser sexp algorithm - by Gottfried - 08/08/2010, 10:01 PM RE: Equations for Kneser sexp algorithm - by sheldonison - 08/09/2010, 06:27 PM RE: Equations for Kneser sexp algorithm - by sheldonison - 08/11/2010, 06:11 PM RE: Equations for Kneser sexp algorithm - by sheldonison - 08/12/2010, 04:43 AM Riemann mapping, for some scenarios - by sheldonison - 08/12/2010, 03:35 PM RE: Equations for Kneser sexp algorithm - by sheldonison - 08/13/2010, 07:39 PM RE: Equations for Kneser sexp algorithm - by tommy1729 - 08/12/2010, 08:37 PM RE: Equations for Kneser sexp algorithm - by bo198214 - 08/15/2010, 06:34 AM RE: Equations for Kneser sexp algorithm - by sheldonison - 08/15/2010, 10:05 AM RE: Equations for Kneser sexp algorithm - by bo198214 - 06/10/2011, 08:48 AM RE: Equations for Kneser sexp algorithm - by sheldonison - 06/10/2011, 01:43 PM RE: Equations for Kneser sexp algorithm - by bo198214 - 06/13/2011, 01:12 PM RE: Equations for Kneser sexp algorithm - by sheldonison - 06/14/2011, 03:00 PM RE: Equations for Kneser sexp algorithm - by bo198214 - 06/14/2011, 05:07 PM RE: Equations for Kneser sexp algorithm - by sheldonison - 06/19/2011, 03:14 AM RE: Equations for Kneser sexp algorithm - by bo198214 - 06/20/2011, 09:22 PM RE: Equations for Kneser sexp algorithm - by sheldonison - 06/21/2011, 01:48 AM

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