File:OneOverFactorial.jpg: Difference between revisions

${\displaystyle f(z)=1/z!}$

${\displaystyle z}$

The lines of constant ${\displaystyle u=\Re (f(z)}$ and the lines of constant ${\displaystyle v=\Im (f(z)}$ are drawn.
The levels ${\displaystyle u=-24,-20,-16,-12,-8,-7..7,8,12,16,20,24}$ are shown with thick black lines.
The levels ${\displaystyle v=-24,-20,-16,-12,-8,-7...7,-1}$ are shown with thick red lines.
The level ${\displaystyle v=0}$ is shown with thick pink line.
The levels ${\displaystyle v=1,2,...7,8,12,16,20,24}$ are shown with thick blue lines.
Some of intermediate elvels ${\displaystyle u=}$const are shown with thin red lines for negative values and thin blue lines for the positive values.
Some of intermediate elvels ${\displaystyle v=}$const are shown with thin green lines.
The blue dashed curves represent the level ${\displaystyle u=1/\mu _{0}}$ and correspond to the positive local maximum of the inverse function of the real argument.
The ref dashed curves represent the level ${\displaystyle u=1/\mu _{1}}$ and correspond to the negative local maximum of the inverse function of the real argument.

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