Suppose that \(f ( z )\) is entire and lim \(_ { z \to \infty } f ( z ) / z = 0\) . Show that \(f ( z )\) is a constant.
Entire functions with $f(z)/z\to0$ are constant
P-UGA8150S21-HW3-04
- Area
- Complex Analysis
- Status
- draft
P-UGA8150S21-HW3-04
Suppose that \(f ( z )\) is entire and lim \(_ { z \to \infty } f ( z ) / z = 0\) . Show that \(f ( z )\) is a constant.