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Picard Values and Some Normality Criteria of Meromorphic Functions

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New Trends in Analysis and Interdisciplinary Applications

Part of the book series: Trends in Mathematics ((RESPERSP))

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Abstract

In this paper, by making use of Nevanlinna theory and the Zalcman-Pang lemma, we obtain some interesting results of normal criteria relating to the type of differential polynomials f m(z) + a( f (k)(z))n, which may be seen as some significant generalizations of normal criteria for meromorphic functions in a domain G.

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References

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Acknowledgement

This paper was supported by NSFC (no. 11461042), CPSF (no. 2014M551865).

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Authors and Affiliations

  1. Department of Mathematics, Nanchang University, Nanchang, Jiangxi, 330031, People’s Republic of China

    Zhixue Liu & Tingbin Cao

Authors
  1. Zhixue Liu
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  2. Tingbin Cao
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Corresponding author

Correspondence to Tingbin Cao .

Editor information

Editors and Affiliations

  1. Faculty of Information Technology, Macau University of Science and Technology, Taipa, Macao

    Pei Dang

  2. Department of Mathematics, University of Aveiro, Aveiro, Portugal

    Min Ku

  3. Faculty of Science and Technology, Department of Mathematics, University of Macau, Taipa, Macao

    Tao Qian

  4. Department of Mathematics, University of Torino, Torino, Italy

    Luigi G. Rodino

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Liu, Z., Cao, T. (2017). Picard Values and Some Normality Criteria of Meromorphic Functions. In: Dang, P., Ku, M., Qian, T., Rodino, L. (eds) New Trends in Analysis and Interdisciplinary Applications. Trends in Mathematics(). Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-48812-7_23

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