Normality criteria for a family of meromorphic functions with multiple zeros

Fuente: arXiv
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Autori principali: Datt, Gopal, Li, Yuntong, Rani, Poonam
Natura: Preprint
Pubblicazione: 2013
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author Datt, Gopal
Li, Yuntong
Rani, Poonam
author_facet Datt, Gopal
Li, Yuntong
Rani, Poonam
contents In this article, we prove some normality criteria for a family of meromorphic functions having zeros with some multiplicity. Our main result involves sharing of a holomorphic function by certain differential polynomials. Our results generalize some of the results of Fang and Zalcman and Chen et al to a great extent.
format Preprint
id arxiv_https___arxiv_org_abs_1305_6214
institution arXiv
publishDate 2013
record_format arxiv
spellingShingle Normality criteria for a family of meromorphic functions with multiple zeros
Datt, Gopal
Li, Yuntong
Rani, Poonam
Complex Variables
30D45, 30D35
In this article, we prove some normality criteria for a family of meromorphic functions having zeros with some multiplicity. Our main result involves sharing of a holomorphic function by certain differential polynomials. Our results generalize some of the results of Fang and Zalcman and Chen et al to a great extent.
title Normality criteria for a family of meromorphic functions with multiple zeros
topic Complex Variables
30D45, 30D35
url https://arxiv.org/abs/1305.6214