
Complex Analysis Complex Analysis Math Forum 
 LinkBack  Thread Tools  Display Modes 
January 26th, 2013, 11:12 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, 11:53 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 28th, 2013, 12:15 AM  #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, 03:33 AM  #4 
Senior Member Joined: Dec 2012 Posts: 148 Thanks: 0  Re: minimum of a function
find the value of z for 

Tags 
function, minimum 
Search tags for this page 
Click on a term to search for related topics.

Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
maximum and minimum of a function  Dmath  Calculus  4  March 9th, 2014 07:19 PM 
minimum value of function  MATHEMATICIAN  Calculus  9  August 31st, 2013 11:33 AM 
Inequality with minimum function  Fruit Bowl  Applied Math  0  January 31st, 2013 11:25 AM 
minimum of function with 2 variables  bertusavius  Calculus  1  October 18th, 2012 04:08 AM 
minimum value of function  amateurmathlover  Calculus  4  April 22nd, 2012 01:39 AM 