File:AnalyticTetrationBaseSqrt2u00.png: Difference between revisions
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imported>Dmitrii Kouznetsov ({{Image notes |Description= Analytic tetration <math>~G(z) </math> at base <math>b=\sqrt{2}</math> on the complex <math>~z</math> plane,<br> Solution of equation <math>\exp_{\sqrt{2}}(G(z))=G(z+1)</math> Levels of integer real part and those of integer imaginary part are shown with thick lines. Intermediate levels are shown with thin lines. Grid covers with unit step range (<math>-10\le \Re(z) \le 10 </math>, <math>-10\le \Im(z) \le 10 </math>). Function is periodic; period <math>T=17.1...) |
imported>Dmitrii Kouznetsov (misprint in math, clickable source) |
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| Line 20: | Line 20: | ||
Asymptotic behavior: | Asymptotic behavior: | ||
: <math>G(z)\sim 4+{\rm e}^{Q_2z}+o({\rm e}^{Qz})<math> | : <math>G(z)\sim 4+{\rm e}^{Q_2z}+o({\rm e}^{Qz})</math> | ||
|Author=Dmitrii Kouznetsov | |Author=Dmitrii Kouznetsov | ||
|Date=2008 | |Date=2008 | ||
|Source=AnalyticTetrationBaseSqrt2u00/code | |Source=[[AnalyticTetrationBaseSqrt2u00/code]] | ||
|Country first published in=Japan | |Country first published in=Japan | ||
|Copyright holder=Dmitrii Kouznetsov | |Copyright holder=Dmitrii Kouznetsov | ||
Revision as of 00:19, 26 May 2008
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