Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2001; 38(2): 369-378

Printed June 1, 2001

Copyright © The Korean Mathematical Society.

The iteration of entire function

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