Abstract

This note is to investigate the growth of transcendental meromorphic functions with radially distributed values. We generalize a more recent result of Chen et al. (2011). The paper is closely related to some previous results due to Fang and Zalcman (2008), and Xu et al. (2009).

Highlights

  • Introduction and ResultsLet f: C → C be a meromorphic function, where C is the whole complex plane and C C ∪ {∞}

  • Log r with a positive number ρ, finite complex numbers a / 0 and b, for any positive integer n ≥ 2, the order λ of f z has the estimation λ ≤ max{ω, ρ}

  • The order λ of f z has the estimation λ ≤ max{ω, ρ}

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Summary

A Note on the Growth of Meromorphic Functions with a Radially Distributed Value

This note is to investigate the growth of transcendental meromorphic functions with radially distributed values. We generalize a more recent result of Chen et al 2011. The paper is closely related to some previous results due to Fang and Zalcman 2008 , and Xu et al 2009

Introduction and Results
Some Lemmas
Q fk 1
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