On unique range sets of meromorphic functions in $\mathbb {C}^m$

Xiao-Tian Bai; Qi Han

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Displaying similar documents to “On unique range sets of meromorphic functions in $ℂ^{m}$ ”

Uniqueness of meromorphic functions when two linear differential polynomials share the same 1-points

Indrajit Lahiri (1999)

Annales Polonici Mathematici

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We prove a uniqueness theorem for meromorphic functions involving linear differential polynomials generated by them. As consequences of the main result we improve some previous results.

Uniqueness of transcendental meromorphic functions with their nonlinear differential polynomials sharing the small function.

Xu, Hong-Yan (2007)

International Journal of Mathematics and Mathematical Sciences

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Uniqueness of meromorphic functions sharing one value.

Meng, Chao (2007)

Applied Mathematics E-Notes [electronic only]

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Meromorphic functions sharing a small function.

Wang, Songmin, Gao, Zongsheng (2007)

Abstract and Applied Analysis

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Meromorphic functions sharing one value.

Banerjee, Abhijit (2005)

International Journal of Mathematics and Mathematical Sciences

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A uniqueness result related to meromorphic functions sharing two sets.

Banerjee, Abhijit, Majumder, Sujoy (2011)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

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On the uniqueness of a power of a meromorphic function sharing a small function with the power of its derivative

Abhijit Banerjee, Sujoy Majumder (2010)

Commentationes Mathematicae Universitatis Carolinae

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In the paper we discuss the uniqueness of the $n$ -th power of a meromorphic function sharing a small function with the power of its $k$ -th derivative and improve and supplement a result of Zhang-Lü [Complex Var. Elliptic Equ. 53 (2008), no. 9, 857–867]. We also rectify one recent result obtained by Chen and Zhang in [Kyungpook Math. J. 50 (2010), no. 1, 71–80] dealing with a question posed by T.D. Zhang and W.R. Lü in [Complex Var. Elliptic Equ. 53 (2008), no. 9, 857–867].

Some further results on meromorphic functions that share two sets

Qi Han, Hong-Xun Yi (2008)

Annales Polonici Mathematici

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This paper concerns the uniqueness of meromorphic functions and shows that there exists a set S ⊂ ℂ of eight elements such that any two nonconstant meromorphic functions f and g in the open complex plane ℂ satisfying $E_{3)} (S, f) = E_{3)} (S, g)$ and Ē(∞,f) = Ē(∞,g) are identical, which improves a result of H. X. Yi. Also, some other related results are obtained, which generalize the results of G. Frank, E. Mues, M. Reinders, C. C. Yang, H. X. Yi, P. Li, M. L. Fang and H. Guo, and others.

Displaying similar documents to “On unique range sets of meromorphic functions in ℂ m ”

Displaying similar documents to “On unique range sets of meromorphic functions in $ℂ^{m}$ ”