imported>Dmitrii Kouznetsov |
|
| (5 intermediate revisions by 2 users not shown) |
| Line 1: |
Line 1: |
| {{Image_notes
| | == 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=\sum_{n=0}^{25} c_n z^n </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.
| |
| :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.
| |
| :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.
| |
| :Levels <math>\Im(f)=-2,-1</math> are shown with thick red curves.
| |
| :Levels <math>\Im(f)=1,2</math> are shown with thick blue curves.
| |
| :Levels <math>\Im(f)=\pm \pi,\pm 3\pi</math> are shown with thick pink curves.
| |
| :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.
| |
| | |
| Upper left corner: the same for function <math>log(f)</math>
| |
| | |
| Botton, left: overlap of the upper two images.
| |
| | |
| Botton, right: lines of constant modulus and constant phase of holomorphic tetration in the same range.
| |
| |Date =2008 December 1
| |
| |Author= Dmitrii Kouznetsov
| |
| |Copyright holder= Dmitrii Kouznetsov
| |
| |CZ_username = [[User:Dmitrii Kouznetsov|Dmitrii Kouznetsov]]
| |
| |Country first published in= Japan
| |
| |Notes =
| |
| |Source = [[TetrationPolynomial25power.jpg/source]] (to be uploaded)
| |
| |Other_versions =
| |
| }}
| |
| | |
| == Licensing/Copyright status == | |
| {{CC-by-1.0}}
| |
