Suppose f is entire and there exist A, \(R > 0\) and natural number N such that \(| f ( z ) | \leq A | z | ^ { N }\) for \(| z | \geq R .\) . Show that (i) f is a polynomial and (ii) the degree of f is at most N .
Entire functions of polynomial growth are polynomials
P-TIE-S15-07
- Area
- Complex Analysis
- Status
- draft