Let \(f\) be a holomorphic function on \(D\) such that \(|f(1/n)|\le 1/2^n\) for all positive integers \(n\). Show that \(f\) is the zero function.
Question
Math 6210 • Real Analysis
Summer 2017 • Question 6
Question
Summer 2017 • Question 6
Let \(f\) be a holomorphic function on \(D\) such that \(|f(1/n)|\le 1/2^n\) for all positive integers \(n\). Show that \(f\) is the zero function.