Some results on zeros distributions and uniqueness of derivatives of difference polynomials

Details Some results on zeros distributions and uniqueness of derivatives of difference polynomials Some results on zeros distributions and uniqueness of derivatives of difference polynomials

2011-07-05

arxiv.org/abs/1107.0773v1

Mathematics

Complex Variables

14 pages

Scientific paper

We consider the zeros distributions on the derivatives of difference polynomials of meromorphic functions, and present some results which can be seen as the discrete analogues of Hayman conjecture \cite{hayman1}, also partly answer the question given in \cite[P448]{luolin}. We also investigate the uniqueness problems of difference-differential polynomials of entire functions sharing one common value. These theorems improve the results of Luo and Lin\cite{luolin} and some results of present authors \cite{liuliucao}.

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