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On the Zeros of the Differential Polynomial φ ( z ) f 2 ( z ) f ′( z ) 2 − 1

Author

Listed:
  • Junfeng Xu

    (Department of Mathematics, Wuyi University, Jiangmen 529020, China)

  • Shuichao Ye

    (Department of Mathematics, Wuyi University, Jiangmen 529020, China)

Abstract

In this study, the value distribution of the differential polynomial φ f 2 f ′ 2 − 1 is considered, where f is a transcendental meromorphic function, φ ( ≢ 0 ) is a small function of f by the reduced counting function. This result improves the existed theorems which obtained by Jiang (Bull Korean Math Soc 53: 365-371, 2016) and also give a quantitative inequality of φ f f ′ − 1 .

Suggested Citation

  • Junfeng Xu & Shuichao Ye, 2019. "On the Zeros of the Differential Polynomial φ ( z ) f 2 ( z ) f ′( z ) 2 − 1," Mathematics, MDPI, vol. 7(1), pages 1-12, January.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:1:p:87-:d:198074
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