Entire functions that share values with their derivatives.
Lu, Feng (2010)
Applied Mathematics E-Notes [electronic only]
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Lu, Feng (2010)
Applied Mathematics E-Notes [electronic only]
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Fricke, G.H., Roy, Ranjan, Shah, S.M. (1981)
International Journal of Mathematics and Mathematical Sciences
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Kai Liu, Lianzhong Yang, Xinling Liu (2011)
Czechoslovak Mathematical Journal
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In this paper we obtain that there are no transcendental entire solutions with finite order of some nonlinear difference equations of different forms.
Belaïdi, Benharrat (2002)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Chen, Zong-Xuan, Gao, Shi-An (2007)
Journal of Inequalities and Applications [electronic only]
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Mansoor Ahmad (1956-1958)
Compositio Mathematica
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Sheng Li, Zongsheng Gao, Jilong Zhang (2012)
Annales Polonici Mathematici
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We investigate the uniqueness of entire functions sharing values or small functions with their derivatives. One of our results gives a necessary condition on the Nevanlinna deficiency of the entire function f sharing one nonzero finite value CM with its derivative f'. Some applications of this result are provided. Finally, we prove some further results on small function sharing.
Liao, Liang-Wen, Yang, Chung-Chun (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Shah, S.M., Wiener, Joseph (1983)
International Journal of Mathematics and Mathematical Sciences
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Feng Lü, Junfeng Xu (2012)
Annales Polonici Mathematici
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Applying the normal family theory and the theory of complex differential equations, we obtain a uniqueness theorem for entire functions that share a function with their first and second derivative, which generalizes several related results of G. Jank, E. Mues & L. Volkmann (1986), C. M. Chang & M. L. Fang (2002) and I. Lahiri & G. K. Ghosh (2009).
Alotaibi, Abdullah (2010)
Journal of Inequalities and Applications [electronic only]
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