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 Limit functions of skew product for class $M$ in Fatou set Bull. Korean Math. Soc. 2003 Vol. 40, No. 3, 365-371 Published online September 1, 2003 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 Full-Text :