Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 1, pp. 81-94
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This paper is devoted to considering the complex oscillation of differential polynomials generated by meromorphic solutions of the differential equation \[ f^{(k)}+A_{k-1}(z) f^{(k-1)}+\cdots +A_1(z) f^{\prime }+A_0(z) f=0, \] where $A_{i}(z)$ $(i=0,1,\cdots ,k-1)$ are meromorphic functions of finite order in the complex plane.
Classification :
30D35, 34M10
Keywords: Linear differential equations; finite order; hyper-order; exponent of convergence of the sequence of distinct zeros; hyper-exponent of convergence of the sequence of distinct zeros
Keywords: Linear differential equations; finite order; hyper-order; exponent of convergence of the sequence of distinct zeros; hyper-exponent of convergence of the sequence of distinct zeros
@article{AUPO_2015__54_1_a5,
author = {LATREUCH, Zinel\^aabidine and BELA\"IDI, Benharrat},
title = {Some {Results} on the {Properties} of {Differential} {Polynomials} {Generated} by {Solutionsof} {Complex} {Differential} {Equations}},
journal = {Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica},
pages = {81--94},
publisher = {mathdoc},
volume = {54},
number = {1},
year = {2015},
mrnumber = {3468602},
zbl = {1345.30032},
language = {en},
url = {http://geodesic.mathdoc.fr/item/AUPO_2015__54_1_a5/}
}
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%0 Journal Article %A LATREUCH, Zinelâabidine %A BELAÏDI, Benharrat %T Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations %J Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica %D 2015 %P 81-94 %V 54 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/AUPO_2015__54_1_a5/ %G en %F AUPO_2015__54_1_a5
LATREUCH, Zinelâabidine; BELAÏDI, Benharrat. Some Results on the Properties of Differential Polynomials Generated by Solutionsof Complex Differential Equations. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 54 (2015) no. 1, pp. 81-94. http://geodesic.mathdoc.fr/item/AUPO_2015__54_1_a5/