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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

1998 • Question 10

Question

Math 6210 • Real Analysis 1998 • Question 10

Find a biholomorphism \(\varphi \) of \(\Delta -\mathbb R^+\) onto \(\Delta \). Here \(\mathbb R^+=\{x\in \mathbb R:x\ge 0\}\). (It will suffice to give explicitly finitely many maps whose composition is equal to \(\varphi \).)

Raw LaTeX

Find a biholomorphism \(\varphi\) of \(\Delta-\mathbb R^+\) onto
\(\Delta\). Here \(\mathbb R^+=\{x\in\mathbb R:x\ge 0\}\). (It will suffice to give
explicitly finitely many maps whose composition is equal to \(\varphi\).)

Topic Tags

Automorphism Groups and Biholomorphisms