imported>Dmitrii Kouznetsov |
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| {{Image_Details
| | == Summary == |
| |description = Approimation of holomorphic [[tetration]] with polynomial of 25th power, id est, the partial sum of the [[Tailor series]]. In the uper right corner, the <math>f=\ln\left(\sum_{n=0}^{25} c_n z^n \right)</math> is plotted with lines of constant real part and constant imaginary part in the complex [tex]z[/tex] plane.
| | Importing file |
| :Levels <math>\Re(f)=-2,-1,0,1,2,3,4</math> are shown with thick black curves.
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| :Levels <math>\Re(f)=-1.8,-1.6,-1.4,-1.2,-0.8,-0.6,-0.4,-0.2</math> are shown with thin red curves.
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| :Levels <math>\Re(f)=1.8,1.6,1.4,1.2,0.8,0.6,0.4,0.2</math> are shown with thin thin blue curves.
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| :Levels <math>\Im(f)=-2,-1</math> are shown with thick red curves.
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| :Levels <math>\Im(f)=1,2</math> are shown with thick blue curves.
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| :Levels <math>\Im(f)=\pm \pi,\pm 3\pi</math> are shown with thick pink curves.
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| :Levels <math>\Im(f)=\pm 1.8, \pm 1.6, \pm 1.4, \pm 1.2, \pm 0.8, \pm 0.6, \pm 0.4,\pm 0.2</math> are shown with thin green curves.
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| Upper left corner: the same for function <math>log(f)</math>
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| Botton, left: overlap of the upper two images.
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| Botton, right: lines of constant modulus and constant phase of holomorphic tetration in the same range.
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| |author = Dmitrii Kouznetsov
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| |copyright = Dmitrii Kouznetsov
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| |source = [[TetrationPolynomial25power.jpg/code]] (to be uploaded)
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| |date-created = 2008 December 1
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| |pub-country = Japan
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| |notes =
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| |versions =
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| }}
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| == Licensing/Copyright status == | |
| {{CC|by|1.0}}
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