7. a function which is harmonic &bounded in c mdst be constant proof: let u(x.y) is harmonic function &ul or some mer since is harmonic , 3 av such ihat =i+iv i

7. A function which is harmonic &bounded in C mdst be constant Proof: Let u(x.y) is harmonic function &ul or some MeR Since is harmonic , 3 av such ihat =i+iv is analytic o Cs) is constant & hence u(zy) isconstant. Question: Let s(:) be an analytic function onC and )-s+)-/(t+) VzeC,then (a)has no pole. (b) is analytic at z = e+a)-fG) VaeC (d) s(C)=C-{0