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Topic: sries of complex functions (Read 8130 times) 

trusure
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sries of complex functions
« on: Mar 4^{th}, 2009, 5:27pm » 
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I need a help im sure that we couldn't find an analytic function on a unit disk with the property that f( (1)^n /n+1) = 1/n+1, n is an integer could be even or odd, I thought in z par is the only function could be exist and its not analytic ? Im right ?! if not t how I can prove this .


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Eigenray
wu::riddles Moderator Uberpuzzler
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Re: sries of complex functions
« Reply #1 on: Mar 4^{th}, 2009, 10:39pm » 
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If two analytic functions are equal on a set with an accumulation point, then...?


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MonicaMath
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Re: sries of complex functions
« Reply #2 on: Mar 5^{th}, 2009, 1:47pm » 
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... they will be equal to each other in the whole set that they are defined on; C in our care. i didn't get it yet !! .


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Eigenray
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Re: sries of complex functions
« Reply #3 on: Mar 6^{th}, 2009, 3:28pm » 
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Suppose f((1)^{n}/(n+1)) = 1/(n+1) for all n. Can you think of an analytic function g(z) such that f(z) = g(z) on a set with an accumulation point?


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