On the Zeros of the Differential Polynomial ? ( z ) f 2 ( z ) f ?( z ) 2 ? 1

Junfeng Xu and Shuichao Ye
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Junfeng Xu: Department of Mathematics, Wuyi University, Jiangmen 529020, China
Shuichao Ye: Department of Mathematics, Wuyi University, Jiangmen 529020, China

Mathematics, 2019, vol. 7, issue 1, 1-12

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 .

Keywords: meromorphic function; differential polynomials; value distribution; small functions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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