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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Displaying similar documents to “Meromorphic functions sharing one value.”
A uniqueness result related to meromorphic functions sharing two sets.
Uniqueness of meromorphic functions sharing one value.
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On a question of Hong Xun Yi
Indrajit Lahiri (2002)
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In the paper we prove a uniqueness theorem for meromorphic functions which provides an answer to a question of H. X. Yi.
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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.
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Meromorphic functions sharing a small function.
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On uniqueness of meromorphic functions sharing three values and a set consisting of two small meromorphic functions
Xiao-Min Li, Hong-Xun Yi (2009)
Annales Polonici Mathematici
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We deal with a uniqueness theorem of two meromorphic functions that share three values with weights and also share a set consisting of two small meromorphic functions. Our results improve those by G. Brosch, I. Lahiri & P. Sahoo, T. C. Alzahary & H. X. Yi, P. Li & C. C. Yang, and others.
Uniqueness of meromorphic functions sharing a meromorphic function of a smaller order with their derivatives
Xiao-Min Li, Hong-Xun Yi (2010)
Annales Polonici Mathematici
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We prove some uniqueness theorems for meromorphic functions and their derivatives that share a meromorphic function whose order is less than those of the above meromorphic functions. The results in this paper improve those given by G. G. Gundersen & L. Z. Yang, J. P. Wang, J. M. Chang & Y. Z. Zhu, and others. Some examples are provided to show that our results are the best possible.
On the uniqueness of meromorphic functions that share three sets
Abhijit Banerjee (2009)
Mathematica Bohemica
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With the aid of the notion of weighted sharing and pseudo sharing of sets we prove three uniqueness results on meromorphic functions sharing three sets, all of which will improve a result of Lin-Yi in Complex Var. Theory Appl. (2003).
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 -th power of a meromorphic function sharing a small function with the power of its -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].