# Analytic function proofs

Not what you're looking for? Search our solutions OR ask your own Custom question.

1). Determine the set A such that

For r > 0 let A ={w, w = exp (1/z) where 0<|z|<r}.

2).Prove that there is no branch of the logarithm defined on G= C-{0}.

( C here is the complex plane).

( Hint: suppose such a branch exists and compare this with the principal branch).

I want detailed proofs and please prove every claim you make and justify every step.

Â© BrainMass Inc. brainmass.com March 4, 2021, 6:32 pm ad1c9bdddfhttps://brainmass.com/math/complex-analysis/analytic-function-proofs-49153

#### Solution Summary

This shows how to determine a given set and prove a statement regarding the branch of a logarithm.

$2.49