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        general >> complex analysis >> sries of complex functions
        
(Message started by: trusure on Mar 4^th, 2009, 5:27pm)

Title: sries of complex functions
Post by trusure on Mar 4^th, 2009, 5:27pm

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 .

Title: Re: sries of complex functions
Post by Eigenray on Mar 4^th, 2009, 10:39pm

If two analytic functions are equal on a set with an accumulation point, then...?

Title: Re: sries of complex functions
Post by MonicaMath on Mar 5^th, 2009, 1:47pm

... 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 !! :-[.

Title: Re: sries of complex functions
Post by Eigenray on Mar 6^th, 2009, 3:28pm

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?