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 The iteration of entire function Bull. Korean Math. Soc. 2001 Vol. 38, No. 2, 369-378 Jianwu Sun Huaiyin Teacher's College Abstract : In this paper, we obtain the following results: Let $f$ be a \tef with $\log M(r,f)=$ $O((\log r)^\beta$ $e^{(\log r)^\alpha})$ $(0\leq\alpha1)$. Then every component of $N(f)$ is bounded. This result generalizes the result of Baker. Keywords : transcendental entire function, iteration, order MSC numbers : 30D35, 30D20 Downloads: Full-text PDF