Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

2002 • Question 7

Question

Math 6210 • Real Analysis 2002 • Question 7

Let \(B\) and \(C\) be two discs of the same radius which are tangent at a point in \(\mathbb C\). Let \(A\) be another disc of the same radius whose boundary goes through the point of tangency of \(B\) and \(C\). Find a Riemann mapping of \(A-(B\cup C)\) onto the unit disc.

Raw LaTeX

Let \(B\) and \(C\) be two discs of the same radius which are tangent at
a point in \(\mathbb C\). Let \(A\) be another disc of the same radius whose boundary
goes through the point of tangency of \(B\) and \(C\). Find a Riemann mapping of
\(A-(B\cup C)\) onto the unit disc.

Topic Tags

Riemann Mapping Theorem and Simply Connected Domains