### A note on the class of meromorphic functions, I

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

Annales Polonici Mathematici

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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.

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

Annales Polonici Mathematici

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Yuxian Chen, Zhaojun Wu (2012)

Annales Polonici Mathematici

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This paper is devoted to exceptional values of meromorphic functions and of their derivatives on annuli. Some facts on exceptional values for meromorphic functions in the complex plane which were established by Singh, Gopalakrishna and Bhoosnurmath [Math. Ann. 191 (1971), 121-142, and Ann. Polon. Math. 35 (1977/78), 99-105] will be considered on annuli.

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.

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

Annales Polonici Mathematici

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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.

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.

A. Al&#039; Rahman Hussan, V. I. Gavrilov (1988)

Matematički Vesnik

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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.

Rossi, John (1995)

Annales Academiae Scientiarum Fennicae. Series A I. Mathematica

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El Farissi, A., Belaidi, B. (2009)

Electronic Journal of Qualitative Theory of Differential Equations [electronic only]

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Wang, Songmin, Gao, Zongsheng (2007)

Abstract and Applied Analysis

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Hong Yan Xu, San Yang Liu (2017)

Open Mathematics

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The main purpose of this paper is to investigate the uniqueness of meromorphic functions that share two finite sets in the k-punctured complex plane. It is proved that there exist two sets S1, S2 with ♯S1 = 2 and ♯S2 = 5, such that any two admissible meromorphic functions f and g in Ω must be identical if EΩ(Sj, f) = EΩ(Sj, g)(j = 1,2).

Yang, Chung-Chun, Hua, Xinhou (1997)

Annales Academiae Scientiarum Fennicae. Mathematica

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W. K. Hayman (1981)

Annales Polonici Mathematici

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Xu, Hong-Yan (2007)

International Journal of Mathematics and Mathematical Sciences

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