论文信息 - A note on power of meromorphic function and its shift operator of certain hyper-order sharing one small function and a value

A note on power of meromorphic function and its shift operator of certain hyper-order sharing one small function and a value

In this paper, we obtain two results on n-th power of a meromorphic function and its shift operator sharing a small function together with a value which improve and complement some earlier results. In particular, more or less we have improved and extended two results of QiYang [Meromorphic functions that share values with their shifts or their n-th order differences, Analysis Math., 46(4)2020, 843-865] by dispelling the superfluous conclusions in them.

A. Banerjee | A. Roy | A. Banerjee | A. Roy

[1] R. Korhonen,et al. Holomorphic curves with shift-invariant hyperplane preimages , 2009, 0903.3236.

[2] Chung-Chun Yang,et al. Uniqueness Theory of Meromorphic Functions , 2004 .

[3] Shizuo Kakutani,et al. On Meromorphic Functions. I , 1935 .

[4] Kai Liu. Meromorphic functions sharing a set with applications to difference equations , 2009 .

[5] Uniqueness and value distribution for difference operators of meromorphic function , 2012 .

[6] L.-Z. Yang,et al. Meromorphic functions that share values with their shifts or their n-th order differences , 2020, Analysis Mathematica.

[7] Lo Yang,et al. Value Distribution Theory , 1993 .

[8] F. Lü,et al. On the Fermat-type equation $${f^3(z)+f^3(z+c)=1}$$f3(z)+f3(z+c)=1 , 2017 .

[9] On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane , 2006, math/0609324.

[10] Kai Liu,et al. Uniqueness and periodicity of meromorphic functions concerning the difference operator , 2010, Comput. Math. Appl..

[11] Zong-Xuan Chen. On growth, zeros and poles of meromorphic solutions of linear and nonlinear difference equations , 2011 .