Let \(f\) be an entire function such that \(f(\mathbb C)\subset \mathbb C-S^1\), where \(S^1\) is the unit circle. Show that \(f\) is a constant function.
Question
Math 6210 • Real Analysis
Fall 1996 • Question 7
Question
Fall 1996 • Question 7
Let \(f\) be an entire function such that \(f(\mathbb C)\subset \mathbb C-S^1\), where \(S^1\) is the unit circle. Show that \(f\) is a constant function.