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January 26th, 2013, 10:12 PM  #1 
Newbie Joined: Jan 2013 Posts: 1 Thanks: 0  minimum of a function
Hello from Greece. Is there anybody out there who can help on this topic " determine the minimum of the function f(z) defined where with z a complex number such us " Thanks in advance! 
January 27th, 2013, 10:53 PM  #2 
Senior Member Joined: Jan 2012 From: Erewhon Posts: 245 Thanks: 112  Re: minimum of a function
Have you considered treating this as a constrained minimisation problem in two variables? CB 
January 27th, 2013, 11:15 PM  #3 
Senior Member Joined: Jan 2012 From: Erewhon Posts: 245 Thanks: 112  Re: minimum of a function
You have to be carefull how you define the function when since is undefined there, but behaves like . Also just plotting this over the constrained region shows that the minimum occurs when , and is zero (at least withthe removable singularity at z=0 removed!). CB 
January 28th, 2013, 02:33 AM  #4 
Senior Member Joined: Dec 2012 Posts: 148 Thanks: 0  Re: minimum of a function
find the value of z for 

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