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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Banerjee, Abhijit, Majumder, Sujoy (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Banerjee, Abhijit (2005)
International Journal of Mathematics and Mathematical Sciences
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Meng, Chao (2007)
Applied Mathematics E-Notes [electronic only]
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Indrajit Lahiri (2002)
Archivum Mathematicum
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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.
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.
Xu, Hong-Yan (2007)
International Journal of Mathematics and Mathematical Sciences
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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.
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].
Wang, Songmin, Gao, Zongsheng (2007)
Abstract and Applied Analysis
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Abhijit Banerjee, Molla Basir Ahamed (2014)
Bulletin of the Polish Academy of Sciences. Mathematics
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We prove the uniqueness of meromorphic functions sharing some three sets with finite weights.
Indrajit Lahiri, Arindam Sarkar (2005)
Annales Polonici Mathematici
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We prove a result on the uniqueness of meromorphic functions sharing three values with weights and as a consequence of this result we improve a recent result of W. R. Lü and H. X. Yi.
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.
Wei-Ran Lü, Hong-Xun Yi (2003)
Annales Polonici Mathematici
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We deal with the problem of uniqueness of meromorphic functions sharing three values, and obtain several results which improve and extend some theorems of M. Ozawa, H. Ueda, H. X. Yi and other authors. We provide examples to show that results are sharp.