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)
• Accepted : 2017.08.29
• Published : 2018.07.31
• 173 10

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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