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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Xu, Hong-Yan (2007)
International Journal of Mathematics and Mathematical Sciences
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Banerjee, Abhijit (2005)
International Journal of Mathematics and Mathematical Sciences
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Wang, Songmin, Gao, Zongsheng (2007)
Abstract and Applied Analysis
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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.
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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Annales Academiae Scientiarum Fennicae. Mathematica
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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.
I. Lahiri (1989)
Matematički Vesnik
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Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Annales Polonici Mathematici
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Annales Polonici Mathematici
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H. S. Gopalakrishna, Subhas S. Bhoosnurmath (1977)
Annales Polonici Mathematici
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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.
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.