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http://dx.doi.org/10.4134/CKMS.c170282

NORMALITY CRITERIA FOR A FAMILY OF MEROMORPHIC FUNCTIONS WITH MULTIPLE ZEROS  

Datt, Gopal (School of Mathematics Harish-Chandra Research Institute(HBNI))
Li, Yuntong (Department of Basic Courses Shaanxi Railway Institute)
Rani, Poonam (Department of Mathematics University of Delhi)
Publication Information
Communications of the Korean Mathematical Society / v.33, no.3, 2018 , pp. 833-851 More about this Journal
Abstract
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 [4] and Chen et al. [2] to a great extent.
Keywords
meromorphic functions; holomorphic functions; shared values; normal families;
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