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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

1998 • Question 6

Question

Math 6210 • Real Analysis 1998 • Question 6

Let \(f\) be holomorphic in \(\Delta -\{0\}\). Assume that \(f'\) is bounded in \(\Delta -\{0\}\). Show that \(f\) extends to a holomorphic function on \(\Delta \).

Raw LaTeX

Let \(f\) be holomorphic in \(\Delta-\{0\}\). Assume that \(f'\) is
bounded in \(\Delta-\{0\}\). Show that \(f\) extends to a holomorphic function on
\(\Delta\).

Topic Tags

Holomorphic Functions and Cauchy-Riemann Equations Holomorphic Roots and Logarithms Zeros of Holomorphic Functions and the Identity Theorem