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Mathematics, 30.07.2019 17:20 anjali3544

consider a function f: c? c with the following properties
f is odd, so that f(z)=-f(-z) for all z? c, z? 0
f has a single pole at point z=0 and is analytical elsewhere
res(f,0)=2018
does such function f exist? if yes, give an example of such function. if no, prove it does not exist.

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consider a function f: c? c with the following properties
f is odd, so that f(z)=-f(-z) for al...
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