Meromorphic Functions that share two finite values with their derivative (II)

Ungsana Chundang, Suchai Tanaiadchawoot

Abstract

The purpose of this paper is to study a meromorphic functions which

share two finite nonzero values with their derivatives, and the result is proved: Let $f$ be a nonconstant meromorphic function, a, b be a nonzero distinct finite complex constant. If $f$ and $f'$ share a CM, and share b IM and $N_{(2(r,\frac{1}{f'-b}}=S(r,f)$ then $f=f'$.