### On an extension of the concept of deficiency in the theory of meromorphic functions

Olli LEHTO (1953)

Mathematica Scandinavica

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Olli LEHTO (1953)

Mathematica Scandinavica

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H.S. Gopalakrishna, S.S. Bhoosnurmath (1976)

Mathematica Scandinavica

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Ilpo Laine, Gary G. Gundersen (1990)

Mathematica Scandinavica

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Li Kam Shun, Chan Wai Leung (1992)

Mathematica Scandinavica

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Ilpo Laine, Steven Bank (1977)

Mathematica Scandinavica

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S. K. Bajpai, T. J. S. Mehrok (1975)

Annales Polonici Mathematici

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H. S. Gopalakrishna, Subhas S. Bhoosnurmath (1976)

Annales Polonici Mathematici

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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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S. K. Singh, V. N. Kulkarni (1973)

Annales Polonici Mathematici

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Rossi, John (1995)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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H. S. Gopalakrishna, Subhas S. Bhoosnurmath (1977)

Annales Polonici Mathematici

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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.

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.

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.

P. K. Jain, P. K. Kamthan (1972)

Annales Polonici Mathematici

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