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trusure
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 sries of complex functions   « on: Mar 4th, 2009, 5:27pm » Quote Modify

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
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 Re: sries of complex functions   « Reply #1 on: Mar 4th, 2009, 10:39pm » Quote Modify

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 5th, 2009, 1:47pm » Quote Modify

... 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 6th, 2009, 3:28pm » Quote Modify

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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