Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Fall 2013 • Question 7

Question

Math 6210 • Real Analysis Fall 2013 • Question 7

Describe all entire functions \(f\) which satisfy the property: \[ \lim _{z\to \infty }\frac {1}{f(z)}=0 \]

Raw LaTeX

Describe all entire functions \(f\) which satisfy the property:
\[
\lim_{z\to\infty}\frac{1}{f(z)}=0
\]

Topic Tags

Entire Functions and Liouville-Type Theorems