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Mathematics 2019, 7(1), 87; https://doi.org/10.3390/math7010087

On the Zeros of the Differential Polynomial φ(z)f2(z)f′(z)2 − 1

Department of Mathematics, Wuyi University, Jiangmen 529020, China
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Received: 21 December 2018 / Revised: 10 January 2019 / Accepted: 12 January 2019 / Published: 16 January 2019
(This article belongs to the Section Mathematics and Computers Science)
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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 . View Full-Text
Keywords: meromorphic function; differential polynomials; value distribution; small functions meromorphic function; differential polynomials; value distribution; small functions
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Xu, J.; Ye, S. On the Zeros of the Differential Polynomial φ(z)f2(z)f′(z)2 − 1. Mathematics 2019, 7, 87.

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