On the growth of entire functions of n complex variables
Małgorzata Downarowicz, Adam Janik (1985)
Annales Polonici Mathematici
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Małgorzata Downarowicz, Adam Janik (1985)
Annales Polonici Mathematici
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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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S. K. Bajpai, S. K. Singh-Gautam, S. S. Bajpai (1980)
Annales Polonici Mathematici
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S. K. Vaish, H. S. Kasana (1982)
Publications de l'Institut Mathématique
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Domar, Yngve (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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Fricke, G.H., Roy, Ranjan, Shah, S.M. (1981)
International Journal of Mathematics and Mathematical Sciences
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Paul Wild (1987)
Numerische Mathematik
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Stefan Halvarsson (1996)
Annales Polonici Mathematici
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We study the growth of parameter-dependent entire functions. We are mainly interested in the case where the functions depend holomorphically on the parameter.
S. K. Singh (1976)
Matematički Vesnik
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L. S. O. Liverpool, Umaru Umar (1982)
Publications de l'Institut Mathématique
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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.
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).
A. E. Eremenko (1989)
Banach Center Publications
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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.