please help me to determine the number of zeros of the following function in the disk D(0,2) by using Rouche's Th: z is a complex number!~
Last edited by frankmelody; Nov 10th 2008 at 04:37 PM.
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Originally Posted by frankmelody please help me to determine the number of zeros of the following function in the disk D(0,2) by using Rouche's Th: Is there a problem with saying that and has two zeros on that range, thus the actual function has two? Or am I remembering the theorem wrong...
Originally Posted by Mathstud28 Is there a problem with saying that and has two zeros on that range, thus the actual function has two? Or am I remembering the theorem wrong... what do you mean by ? I think z is a complex number here......
Originally Posted by frankmelody please help me to determine the number of zeros of the following function in the disk D(0,2) by using Rouche's Th: z is a complex number!~ Let and . Then on we have . Therefore, has as many zeros as in
Originally Posted by ThePerfectHacker Let and . Then on we have . Therefore, has as many zeros as in I am afraid you are wrong, you said on " we have ", but if you let z=-2, obviously you are wrong.
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