涉及f^n及其k阶导数[f^n]^((k))的唯一性

Uniqueness of f^n and [f^n]^((k)) Sharing a Small Function

从权弱分担的角度分析亚纯函数(或整函数)fn与其k阶导数[fn](k)的唯一性问题,得到f(n)=[fn](k)且f=cexp((λ/n)z)(c为非需常数,λk=1)的充分条件.

This paper studies the uniqueness of meromorphic functions（or entire functions）fn and [f^n]^（（k）） concerning weakly weighted sharing one small function.It reaches the result：fn is equal to [f^n]^（（k）） or f is equal to cexp（（λ/n）z）,where c is nonconstant and λk=1.