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.
Harina P. Waghamore, Ramya Maligi (2020)
Communications in Mathematics
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The motivation of this paper is to study the uniqueness problems of meromorphic functions concerning differential polynomials that share a small function. The results of the paper improve and generalize the recent results due to Fengrong Zhang and Linlin Wu [13]. We also solve an open problem as posed in the last section of [13].
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.