Let f be entire and suppose that \(\operatorname* { l i m } _ { z \to \infty } f ( z ) = \infty\) . Show that f is a polynomial.
Entire functions with $f(z)\to\infty$ are polynomials
P-TIE-F15-10
- Area
- Complex Analysis
- Status
- draft
P-TIE-F15-10
Let f be entire and suppose that \(\operatorname* { l i m } _ { z \to \infty } f ( z ) = \infty\) . Show that f is a polynomial.