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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

2004 • Question 8

Question

Math 6210 • Real Analysis 2004 • Question 8

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

Raw LaTeX

Characterize 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