Geodesic
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 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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 
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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/

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