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Math 535 Problem Set 3
Page 108
1
1) Let z (t) = (1+ i)t with 0 t 1. Then xdz = 0 t(1+ i)dt = 1/2(1+ i).
6) Since |f (z ) 1| < 1 if we let w = f (z ) then log w is analytic since w is
never a negative real number. Thus we have log f (z ) is an analytic fu
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