Let \(f\) be a nonconstant entire function. Show that for every real constant \(k\) there exists \(z\in \mathbb C\) such that \(\Im f(z)=k\cdot \Re f(z)\).
Question
Math 6210 • Real Analysis
1998 • Question 7
Question
1998 • Question 7
Let \(f\) be a nonconstant entire function. Show that for every real constant \(k\) there exists \(z\in \mathbb C\) such that \(\Im f(z)=k\cdot \Re f(z)\).