Abstract:
In this paper, we study the uniqueness of meromorphic function and its differential polynomial sharing two small functions, and prove the follow theory. Let
f(z) be a nonconstant meromor-phic function satisfying
![](https://image.hanspub.org/IMAGE/Edit_e9075b6b-7088-4835-b242-ff5403f3c6d0.png)
, let n be an integer and let
a(z) and
b(z) be two distinct small functions related to
f(z) . Let
![](https://image.hanspub.org/IMAGE/Edit_3b541b24-758b-426d-a3b3-26aec0903529.png)
, where
![](https://image.hanspub.org/IMAGE/Edit_276c79fc-408a-408b-a399-81361b44cf16.png)
are small functions related to
f(z) . If
f(z) and
F(z) share
a(z) and
b(z) CM almost, then
![](https://image.hanspub.org/IMAGE/Edit_692f06c9-34eb-476f-bc22-af0c649d802a.png)
.Thus, this result improves some existing results.