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Two results on the normality criterion concerning holomorphic functions

  • Real and Complex Analysis
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Abstract

In this paper we generalize two known results concerning normal families of meromorphic functions. We first improve and extend a theorem of Liu and Nevo, using a completely different approach. Then we obtain a generalization of Gu’s normality criterion.

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Authors and Affiliations

  1. China University of Petroleum, Qingdao, P. R. China

    F. Lü

  2. Wuyi University, Jiangmen, Guangdong, P. R. China

    J. Xu

Authors
  1. F. Lü
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  2. J. Xu
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Correspondence to F. Lü.

Additional information

Original Russian Text © F. Lü, J. Xu, 2016, published in Izvestiya NAN Armenii. Matematika, 2016, No. 1, pp. 54-64.

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Lü, F., Xu, J. Two results on the normality criterion concerning holomorphic functions. J. Contemp. Mathemat. Anal. 51, 34–40 (2016). https://doi.org/10.3103/S1068362316010040

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  • DOI: https://doi.org/10.3103/S1068362316010040

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