Mathematics, 09.01.2020 00:31 octavioC2
A) let f(z) be an entire function for which |f(z)/zk| is bounded in the exterior of a sufficiently large circle, |z| > r. show that f(z) is a polynomial of degree < k (b) if |f(z)| < a |z|k for all z (not just large z), show that either f is identically zero or that f(z) = czk with c non zero.
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A) let f(z) be an entire function for which |f(z)/zk| is bounded in the exterior of a sufficiently l...
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