Abstract
Suppose thatα>1, 0<R<∞ and thatf is analytic in |z|≤αR with |f(0)|≥1. It is shown that for a constant dα depending only onα,\(log M(R,f) \leqslant d_\alpha T(R,f)^{1/2} T(\alpha R,f)^{1/2} \). Therefore iff is entire of order λ<∞, logM(r,f)/T(r,f) has order at most λ/2. These results are shown by example to be quite precise.
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