关于无穷级亚纯函数

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On Meromorphic Functions of Infinite Order

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Abstract:

By using Nevanlinna theory of the angular domain and the type function of characteristic T(r,f), we study the value distribution of meromorphic functions of infinite order, obtain the existences of Borel direction and Hayman direction of proximate order dealing with small functions, at the same time prove existences of T direction and Hayman-T direction dealing with small functions, from which we can easily deduce the existing results.

Key words: Meromorphic function, Type functon, Borel direction, Hayman direction, T direction, Hayman-T direction

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O174.55

Zhang Hongshen, Ge Yuli. On Meromorphic Functions of Infinite Order[J].Acta mathematica scientia,Series A, 2016, 36(4): 750-762.

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