MATH 213A: HOMEWORK 5
DUE THURSDAY, OCTOBER 25TH
From Ahlfors Complex Analysis
p.227 (section 5.5.5) 1,2,3
p.232 (section 6.1.1) 1
1a) Let be a simply connected domain, let a , and let
f : B1 (0)
be a
MATH 213A: HOMEWORK 6
DUE THURSDAY, NOV. 1ST
From Ahlfors Complex Analysis
p.238 (section 6.2.2) 2,3,5,6
p.257 (section 6.5.1) 1
1) A holomorphic mapping f : U V is a local bijection on U if for
every
MATH 213A: HOMEWORK 7
DUE THURSDAY, NOV. 15TH
From Ahlfors
p.178 (section
p.184 (section
p.186 (section
Complex Analysis
5.1.1) 1,2,5
5.1.2) 2,5
5.1.3) 3,4,5
Prove the lemma needed to nish the proof o
MATH 213A: HOMEWORK 9
DUE THURSDAY, DEC. 6TH
From Ahlfors Complex Analysis
p.200 (section 5.2.4) 1,2
1) Suppose 0 < < 1, 0 < < 1, f is holomorphic on B1 (0),
f (B1 (0) B1 (0), and f (0) = . How many z