Generalizations of growth constants, I
S. K. Bajpai, S. K. Singh-Gautam, S. S. Bajpai (1980)
Annales Polonici Mathematici
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Displaying similar documents to “On the growth of entire functions of n complex variables”
Generalizations of growth constants, I
Growth properties of entire functions depending on a parameter
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.
The geometric means of an entire function
P. K. Kamthan, P. K. Jain (1969)
Annales Polonici Mathematici
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The Ritt order of the derivative of an entire function
Q. I. Rahman (1965)
Annales Polonici Mathematici
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On the growth of entire solution of a nonlinear differential equation
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.
On The Proximate Type Of An Entire Function
S. K. Vaish, H. S. Kasana (1982)
Publications de l'Institut Mathématique
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Entire functions of order , with bounds on both axes.
Domar, Yngve (1997)
Annales Academiae Scientiarum Fennicae. Mathematica
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On a kth-order differential equation
Xiao-Min Li, Cun-Chen Gao (2006)
Annales Polonici Mathematici
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We prove a theorem on the growth of a solution of a kth-order linear differential equation. From this we obtain some uniqueness theorems. Our results improve several known results. Some examples show that the results are best possible.
Bounded index, entire solutions of ordinary differential equations and summability methods.
Fricke, G.H., Roy, Ranjan, Shah, S.M. (1981)
International Journal of Mathematics and Mathematical Sciences
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On the maximum modulus and the means of an entire function
S. K. Singh (1976)
Matematički Vesnik
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Extension of Entire Functions with Controlled Growth.
Stefan Halvarsson (1994)
Mathematica Scandinavica
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Uniqueness of entire functions and their derivatives
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.
Entire functions that share 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).
Growth of Derivatives of Entire Functions.
R.P. Boas jr. (1957/58)
Mathematische Zeitschrift
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Some Remarks On Point Picard Sets For Entire Functions
L. S. O. Liverpool, Umaru Umar (1982)
Publications de l'Institut Mathématique
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Entire functions that share values or small functions with their derivatives
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.