The function f(z)=log(z+1)

Complex Mapping

. The points

and

are defined on the horizontal and vertical segments, respectively. Here we consider the principal argument

. Observe the behaviour of

and

when

and

are moved. You can also change the branch of the logarithm.

To move

and

simultaneously click on the Animate button. Drag the sliders to observe what happens to both graphs.

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