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On the Iterations of Entire Algebroid Functions

On the Iterations of Entire Algebroid Functions
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摘要 In this paper, we establish the dynamical systems of iterated entire aigebroid functions. According to dynamics, we give a classification theorem of entire aigebroid functions. Some typical properties on Julia set and Fatou set are proved. And we obtain a similar property on the dstribution of J(f) and Vf. In this paper, we establish the dynamical systems of iterated entire aigebroid functions. According to dynamics, we give a classification theorem of entire aigebroid functions. Some typical properties on Julia set and Fatou set are proved. And we obtain a similar property on the dstribution of J(f) and Vf.
出处 《Science China Mathematics》 SCIE 1994年第4期422-431,共10页 中国科学:数学(英文版)
基金 Project supported by the Tianyuan Foundation of China
关键词 DYNAMICAL SYSTEM iterate algebroid FUNCTION Julia set. dynamical system, iterate, algebroid function, Julia set.
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