Show that there is no function \(f\) holomorphic on \(\mathbb {D}\) so that \[ f\left (\frac {1}{n}\right )=\frac {1}{n+2} \] for all large \(n\in \mathbb {N}\).
Question
Math 6220 • Complex Analysis
Summer 2022 • Question 3
Question
Summer 2022 • Question 3
Show that there is no function \(f\) holomorphic on \(\mathbb {D}\) so that \[ f\left (\frac {1}{n}\right )=\frac {1}{n+2} \] for all large \(n\in \mathbb {N}\).