NORMAL CRITERIA FOR TWO FAMILIES OF MEROMORPHIC FUNCTIONS SHARING SETS AND VALUES | Hương | TNU Journal of Science and Technology

NORMAL CRITERIA FOR TWO FAMILIES OF MEROMORPHIC FUNCTIONS SHARING SETS AND VALUES

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Published: 28/12/18

Authors

1. Do Thi Mai Huong Email to author, Thai Nguyen Pedagogical College
2. Pham Thi Phuong, Thai Nguyen Pedagogical College

Abstract


In 2013, X. J. Liu, S. H. Li and X. C. Pang [2] proved that: Let F and G be
two families of meromorphic functions on a domain D C; a1; a2; a3; a4 be
four distinct complex numbers. If G is normal, and for every f 2 F, there exists g 2 G such that f(z), g(z) share the value a1; a2; a3; a4, then F is normal on D: In this paper, we prove some normality criterias for two families meromorphic functions sharing sets and values related with above result. Up to now, our results are new.


Keywords


Normal family, Meromorphic function, Nevanlinna theory, Share set

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