Uniqueness of Meromorphic Functions Concerning Differential Monomials

Hui Huang, Bin Huang

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DOI: 10.4236/am.2011.22025                

Abstract

Considering the uniqueness of meromorphic functions concerning differential monomials ,we obtain that, if two non-constant meromorphic functions f(z) and g(z) satisfy ,where k and n are tow positive integers satisfying k ≥ 3 and n ≥ 11 , then either where c₁, c₂, c, are three constants, satisfying (c₁ c₂)ⁿ⁺¹c>ⁿ⁺¹=- 1 or f = tg for a constant t such that tⁿ⁺¹ = 1

Keywords

Meromorphic Function, Sharing Value, Uniqueness

Conflicts of Interest

The authors declare no conflicts of interest.

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