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http://dx.doi.org/10.14317/jami.2015.475

THE UNIQUENESS OF MEROMORPHIC FUNCTIONS WHOSE DIFFERENTIAL POLYNOMIALS SHARE SOME VALUES  

MENG, CHAO (School of Science, Shenyang Aerospace University)
LI, XU (Department of Research and Development Center, AVIC SAC Commercial Aircraft CompanyLimited)
Publication Information
Journal of applied mathematics & informatics / v.33, no.5_6, 2015 , pp. 475-484 More about this Journal
Abstract
In this article, we deal with the uniqueness problems of meromorphic functions concerning differential polynomials and prove the following theorem. Let f and g be two nonconstant meromorphic functions, n ≥ 12 a positive integer. If fn(f3 - 1)f′ and gn(g3 - 1)g′ share (1, 2), f and g share ∞ IM, then f ≡ g. The results in this paper improve and generalize the results given by Meng (C. Meng, Uniqueness theorems for differential polynomials concerning fixed-point, Kyungpook Math. J. 48(2008), 25-35), I. Lahiri and R. Pal (I. Lahiri and R. Pal, Nonlinear differential polynomials sharing 1-points, Bull. Korean Math. Soc. 43(2006), 161-168), Meng (C. Meng, On unicity of meromorphic functions when two differential polynomials share one value, Hiroshima Math.J. 39(2009), 163-179).
Keywords
Uniqueness; meromorphic function; differential polynomials;
Citations & Related Records
Times Cited By KSCI : 3  (Citation Analysis)
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