On The Proximate Type Of An Entire Function
S. K. Vaish, H. S. Kasana (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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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. Singh (1976)
Matematički Vesnik
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S. K. Bajpai, S. K. Singh-Gautam, S. S. Bajpai (1980)
Annales Polonici Mathematici
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Małgorzata Downarowicz, Adam Janik (1985)
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).
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.
A. E. Eremenko (1989)
Banach Center Publications
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L. S. O. Liverpool, Umaru Umar (1982)
Publications de l'Institut Mathématique
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Fricke, G.H., Roy, Ranjan, Shah, S.M. (1981)
International Journal of Mathematics and Mathematical Sciences
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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.
Bogusława Karpińska (2003)
Fundamenta Mathematicae
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We prove that for some families of entire functions whose Julia set is the complement of the basin of attraction every branch of a tree of preimages starting from this basin is convergent.
Indrajit Lahiri, Shubhashish Das (2020)
Mathematica Bohemica
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In the paper we consider the growth of entire solution of a nonlinear differential equation and improve some existing results.
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.
H.G. Diamond, C. Pomerance, L. Rubel (1981)
Mathematische Zeitschrift
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