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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6210 • Real Analysis

Spring 2009 • Question 7

Question

Math 6210 • Real Analysis Spring 2009 • Question 7

Let \(f\) be a meromorphic function on \(\mathbb C\) such that \(|f(z)|<B\) if \(|z|>R\). Show that \(f\) is a rational function (a quotient of polynomials).

Raw LaTeX

Let \(f\) be a meromorphic function on \(\mathbb C\) such that
\(|f(z)|<B\) if \(|z|>R\). Show that \(f\) is a rational function (a quotient of
polynomials).

Topic Tags

Meromorphic Functions and Rational Functions