Uniquely Factorizable Entire Functions under Composition.
Chung-Chun Yang, Hironobu Urabe (1989)
Forum mathematicum
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Chung-Chun Yang, Hironobu Urabe (1989)
Forum mathematicum
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Jan Persson (1970)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Y.S. Eidelman, I.V. Tikhonov (1997)
Semigroup forum
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R. de Laubenfels (1989)
Semigroup forum
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Indrajit Lahiri, Gautam Kumar Ghosh (2009)
Annales Polonici Mathematici
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We study the uniqueness of entire functions which share a value or a function with their first and second derivatives.
Q. I. Rahman (1965)
Annales Polonici Mathematici
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P. K. Kamthan, P. K. Jain (1969)
Annales Polonici Mathematici
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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).
Domar, Yngve (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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L. S. O. Liverpool, Umaru Umar (1982)
Publications de l'Institut Mathématique
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S. K. Vaish, H. S. Kasana (1982)
Publications de l'Institut Mathématique
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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.
S. K. Singh (1976)
Matematički Vesnik
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