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Question: Maximum of complex function

Question:Maximum of complex function

Zeineb 520 Maple
maximum
January 15 2017
0

Hi

Let D={ Z=x+I*y,    -Pi*(n+1/2) <= x, y <= Pi*(n+1/2)}  

z belong the boundary of the previous square.

I would like to compute the modul of this function  f (z) =  coth(z) using the usual function  cos(x) cos(y), sinh(x) or cosh(y)  and show that | f(z)|  is less than one

Many thanks for any help

 

 
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