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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Summer 2017 • Question 9

Question

Math 6210 • Real Analysis Summer 2017 • Question 9

Let \(f(z)=nz+z^n\), where \(n\) is a positive integer. Show that \(f\) is one-to-one on \(D\).

Raw LaTeX

Let \(f(z)=nz+z^n\), where \(n\) is a positive integer. Show that \(f\)
is one-to-one on \(D\).

Topic Tags

Automorphism Groups and Biholomorphisms