Help in drawing a diagram

Questions
1

I want the function obtained in we to be directly entered into the plot, but when I do this the graph becomes empty. Can you help me?

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2

You must give a value to the parameter \[Nu]. Also, it is either Exp[I \[Theta]] or E^(I \[Theta]), but not Exp^(I \[Theta]).

3

thanks

4

I forgot the parameter k. It needs a value too.