Meromorphic functions sharing a small function.
Wang, Songmin, Gao, Zongsheng (2007)
Abstract and Applied Analysis
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Displaying similar documents to “Uniqueness of transcendental meromorphic functions with their nonlinear differential polynomials sharing the small function.”
Meromorphic functions sharing a small function.
Uniqueness of meromorphic functions sharing one value.
Meng, Chao (2007)
Applied Mathematics E-Notes [electronic only]
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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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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 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.
A note on the class of meromorphic functions, I
S. K. Bajpai, T. J. S. Mehrok (1975)
Annales Polonici Mathematici
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Generalised proximate order of meromorphic functions
I. Lahiri (1989)
Matematički Vesnik
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On oscillation theorems for differential polynomials.
El Farissi, A., Belaidi, B. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Unicity theorems for meromorphic functions that share three values
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.
Exceptional values of meromorphic functions
H. S. Gopalakrishna, Subhas S. Bhoosnurmath (1976)
Annales Polonici Mathematici
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Exceptional values of a meromorphic function and its derivatives
H. S. Gopalakrishna, Subhas S. Bhoosnurmath (1977)
Annales Polonici Mathematici
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Uniqueness of meromorphic functions sharing two finite sets
Jun-Fan Chen (2017)
Open Mathematics
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We prove uniqueness theorems of meromorphic functions, which show how two meromorphic functions are uniquely determined by their two finite shared sets. This answers a question posed by Gross. Moreover, some examples are provided to demonstrate that all the conditions are necessary.
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.
On meromorphic functions for sharing two sets and three sets inm-punctured complex plane
Hong-Yan Xu, Xiu-Min Zheng, Hua Wang (2016)
Open Mathematics
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In this article, we study the uniqueness problem of meromorphic functions in m-punctured complex plane Ω and obtain that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 9, such that any two admissible meromorphic functions f and g in Ω must be identical if f, g share S1, S2 I M in Ω.
Meromorphic functions that share a nonzero polynomial IM
Pulak Sahoo (2012)
Mathematica Bohemica
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We study the uniqueness theorems of meromorphic functions concerning differential polynomials sharing a nonzero polynomial IM, and obtain two theorems which will supplement two recent results due to X. M. Li and L. Gao.