SOME NORMALITY CRITERIA AND A COUNTEREXAMPLE TO THE CONVERSE OF BLOCH'S PRINCIPLE

作者：Charak Kuldeep Singh^*; Sharma Shittal

来源：Bulletin of the Australian Mathematical Society, 2017, 95(2): 238-249.

DOI：10.1017/S0004972716001015

• value distribution theory
• normal families
• meromorphic functions
• differential polynomials
• sharing

In this paper, we prove some value distribution results which lead to normality criteria for a family of meromorphic functions involving the sharing of a holomorphic function by more general differential polynomials generated by members of the family, and improve some recent results. In particular, the main result of this paper leads to a counterexample to the converse of Bloch's principle.

• 出版日期2017-4