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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Spring 2016 • Question 8

Question

Math 6210 • Real Analysis Spring 2016 • Question 8

Let \(f\) be a holomorphic function on the unit disk \(\mathbb D\). Then there exists \(n\in \mathbb N\) so that \[ f\left (\frac {1}{n}\right )\ne \frac {1}{n+2}. \]

Raw LaTeX

Let \(f\) be a holomorphic function on the unit disk \(\mathbb D\).
Then there exists \(n\in\mathbb N\) so that
\[
f\left(\frac{1}{n}\right)\ne\frac{1}{n+2}.
\]

Topic Tags

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