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Uniqueness of meromorphic functions concerning their difference operators and derivatives
Advances in Difference Equations ( IF 3.1 ) Pub Date : 2020-09-09 , DOI: 10.1186/s13662-020-02939-9 Dong-Mei Wei , Zhi-Gang Huang
中文翻译:
亚纯函数关于其差分算子和导数的唯一性
更新日期:2020-09-10
Advances in Difference Equations ( IF 3.1 ) Pub Date : 2020-09-09 , DOI: 10.1186/s13662-020-02939-9 Dong-Mei Wei , Zhi-Gang Huang
Let f and g be two nonconstant meromorphic functions. Shared value problems related to f and g are investigated in this paper. We give sufficient conditions in terms of weighted value sharing which imply that f is a linear transformation or inversion transformation of g. We also investigate the uniqueness problem of meromorphic functions with their difference operators and derivatives sharing some values.
中文翻译:
亚纯函数关于其差分算子和导数的唯一性
令f和g为两个非恒定亚纯函数。本文研究了与f和g有关的共享价值问题。我们在加权值共享方面给出了充分的条件,这意味着f是g的线性变换或求逆变换 。我们还研究了亚纯函数的差分算子和导数共享一些值的唯一性问题。