SOME NORMALITY CRITERIA AND A COUNTEREXAMPLE TO THE CONVERSE OF BLOCH’S PRINCIPLE-Reference-Cited by-同舟云学术

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

Published:2016-11-23 Issue:2 Volume:95 Page:238-249
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Aust. Math. Soc.

Author:

CHARAK KULDEEP SINGH,SHARMA SHITTAL

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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