Normal Family of Meromorphic Functions concerning Shared Values

Wei Chen, Honggen Tian, Yingying Zhang and Wenjun Yuan

Journal of Complex Analysis, 2013, vol. 2013, 1-7

Abstract:

We obtain a normal criterion of meromorphic functions concerning, shared values. Let be a family of meromorphic functions in a domain and let be positive integers. Let be two finite complex constants. If, for each , all zeros of have multiplicity at least and and share in for every pair of functions , then is normal in . This result generalizes the related theorem according to Xu et al. and Qi et al., respectively. There is a gap in the proofs of Lemma 3 by Wang (2012) and Theorem 1 by Zhang (2008), respectively. They did not consider the case of being zerofree. We will fill the gap in this paper.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljca:107281

DOI: 10.1155/2013/107281

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