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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Fall 2015 • Question 7

Question

Math 6210 • Real Analysis Fall 2015 • Question 7

Classify entire biholomorphisms. That is, what are all \(f:\mathbb C\to \mathbb C\) holomorphic with a holomorphic inverse \(g:\mathbb C\to \mathbb C\)?

Raw LaTeX

Classify entire biholomorphisms. That is, what are all
\(f:\mathbb C\to\mathbb C\) holomorphic with a holomorphic inverse
\(g:\mathbb C\to\mathbb C\)?

Topic Tags

Automorphism Groups and Biholomorphisms Entire Functions and Liouville-Type Theorems Holomorphic Functions and Cauchy-Riemann Equations Holomorphic Roots and Logarithms