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Li, Xiao-Min; Yi, Hong-Xun; Li, Wen-Li

Value distribution of certain difference polynomials of meromorphic functions. (English) Zbl 1300.30060

Rocky Mt. J. Math. 44, No. 2, 599-632 (2014).
Considering the value distribution question and uniqueness question of meromorphic functions, whose difference polynomials share one non-zero value or entire function of smaller order, in this paper the authors establish a theorem in connection with the value distribution of certain difference polynomials of meromorphic functions improving some earlier results. Applying this theorem, they also prove some uniqueness theorems for meromorphic functions, certain difference polynomials of which share a non-zero polynomial, which extends some previous results where the meromorphic functions were taken to be of finite order.
Reviewer: Sanjib Kumar Datta (Kalyani)

Cited in 2 Reviews
Cited in 1 Document

MSC:

30D35 Value distribution of meromorphic functions of one complex variable, Nevanlinna theory
30D30 Meromorphic functions of one complex variable (general theory)

Keywords:

meromorphic functions; difference polynomials; uniqueness theorems
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\textit{X.-M. Li} et al., Rocky Mt. J. Math. 44, No. 2, 599--632 (2014; Zbl 1300.30060)
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