Zheng Jianhua

Unbounded domains of normality of entire functions of small growth

Let f : C → C denote a transcendental entire function and let m ( r , f ) equal min {[mid ] f ( z )[mid ][ratio ][mid ] z [mid ] = r }. In this note, we mainly prove that if formula here then the set of normality N ( f ) of f has no unbounded preperiodic and periodic components. In particular, f has no Baker domains. We also discuss non-existence of unbounded components of normality under other conditions.

Some properties of Fatou and Julia sets of transcendental meromorphic functions

The radial distribution of Julia sets and non-existence of unbounded Fatou components of transcendental meromorphic functions are investigated in this paper.

T- and Hayman T-points of meromorphic functions for small functions in the unit disk

Abstract In this article, we consider the singular points of meromorphic functions in the unit disk. We prove the second fundamental theorem for the Ahlfors-Shimizus characteristic in the unit disk in terms of Nevanlinna theory in the angular domains, and obtain the existence of T -points and Hayman T -points dealing with small functions as target.