We consider the zeros distributions of difference-differential polynomials which are the derivatives of difference products of entire functions. We also investigate the uniqueness problems of difference-differential polynomials of entire functions sharing a common value.
Using the techniques proposed in [3], we prove that two nonconstant meromorphic functions f and g on C must be linked by a quasi-Mbius transformation if they share some pairs of small functions with more precise truncated multiplicities, which improve and extend the results of Duc Quang Si.
利用Cm上亚纯函数的性质（包括值分布理论）,研究Cm上亚纯函数唯一性像集有关问题,并证明以下定理：令S={z∈Cm：zn-1=0},a为非零复数,且a2■S,k≥2为整数。f,g为Cm上级小于1的非常数亚纯函数,sum from b∈S（μ~bf,k）=sum from b∈S（μbg,k）,且SuppDaf=SuppDag,则若n〉（4＋3/k＋2/（k＋1））（1＋ε）,得f=g。
