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Uniqueness of Meromorphic Functions Concerning Differential Monomials
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Applied Mathematics·Volume 02 (2011)·Pages 230–235·Published 25 February 2011·DOI10.4236/am.2011.22025
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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 c<sub>1</sub>, c<sub>2</sub>, c, are three constants, satisfying (c<sub>1</sub> c<sub>2</sub>)<sup>n+1</sup>c><sup>n+1</sup>=- 1 or f = tg for a constant t such that t<sup>n+1</sup> = 1
KeywordsMeromorphic FunctionSharing ValueUniqueness
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