Uniqueness of a meromorphic function and its derivative.
Lahiri, Indrajit, Sarkar, Arindam (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Lahiri, Indrajit, Sarkar, Arindam (2004)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Chen, Junfan, Lin, Weichuan (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Yu, Kit-Wing (2002)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Zhang, Ji-Long, Yang, Lian-Zhong (2007)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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Zhang, Qingcai (2005)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
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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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Banerjee, Abhijit, Majumder, Sujoy (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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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].
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.
Wang, Songmin, Gao, Zongsheng (2007)
Abstract and Applied Analysis
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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.