Bulletin of the
Korean Mathematical Society
BKMS

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

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Bull. Korean Math. Soc. 2003; 40(3): 365-371

Printed September 1, 2003

Copyright © The Korean Mathematical Society.

Limit functions of skew product for class $M$ in Fatou set

Wang Sheng

Tsinghua University

Abstract

In this paper, some limit functions of the iteration of the skew product in the stable sets are investigated, which is associated with finitely generated semigroup for the class $M$, under some additional conditions.

Keywords: Fatou set, function meromorphic outside a small set, Julia set, limit function, skew product

MSC numbers: 30D05, 37F50