Characteristic function of a meromorphic function and its derivative
S. K. Singh, V. N. Kulkarni (1973)
Annales Polonici Mathematici
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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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S. K. Bajpai, T. J. S. Mehrok (1975)
Annales Polonici Mathematici
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I. Lahiri (1989)
Matematički Vesnik
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El Farissi, A., Belaidi, B. (2009)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Xu, Hong-Yan (2007)
International Journal of Mathematics and Mathematical Sciences
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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.
Lahiri, Indrajit, Banerjee, Abhijit (2004)
Portugaliae Mathematica. Nova Série
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Benharrat Belaïdi (2011)
Publications de l'Institut Mathématique
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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.
A. Al' Rahman Hussan, V. I. Gavrilov (1988)
Matematički Vesnik
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H. S. Gopalakrishna, Subhas S. Bhoosnurmath (1977)
Annales Polonici Mathematici
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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.
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.