File:ArcGamma.jpg

Summary
{{Image notes ownworkpro The lines of constant $$u=\Re({\mathrm{ArcFactorial}(z)$$ and the lines of constant $$v=\Im({\mathrm{ArcFactorial}(z)$$ are drawn. Levels $$u=1,2,3$$ are shown with thick black curves. Levels $$u= 0.2,0.4,0.6,0.8, 1.2,1.4,1.6,1.8, 2.2,2.4,2.6,2.8, 3.2,3.4,3.6 $$ are shown with thim blue curves. Levels $$v=1,2,3$$ are shown with thick blue curves. Level $$v=0$$ is shown with thick pink line. Levels $$v=-1,-2,-3$$ are shown with thick red curves. Intermediate levels of constant $$v$$ are shown with thin greel curves. The cutline of therange of holomorphizm is shown with dashed black line. The same image can be considered also as plot of ArcGamma finction; in this case, the black curves corresponds to values of the real part 2,3,4.
 * Description=ArcFactorial function at the complex $$z$$-plane.
 * CZ username= Dmitrii Kouznetsov
 * Year created= 2009
 * Notes= code: ArcGamma.jpg/code
 * Other versions=}}