EMIS ELibM Electronic Journals Publications de l'Institut Mathématique, Nouvelle Série
Vol. 90(105), pp. 125–133 (2011)

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Complex Oscillation of Differential Polynomials Generated by Meromorphic Solutions of Linear Differential Equations

Benharrat Belaïdi

Department of Mathematics, Laboratory of Pure and Applied Mathematics, University of Mostaganem (UMAB), Algeria

Abstract: We investigate the complex oscillation of some differential polynomials generated by solutions of the differential equation $$ f"+A_1(z)f'+A_0(z) f=0, $$ where $A_1(z),A_0(z)$ are meromorphic functions having the same finite iterated $p$-order.

Keywords: Linear differential equations, differential polynomials, meromorphic solutions, iterated order, iterated exponent of convergence of the sequence of distinct zeros

Classification (MSC2000): 34M10; 30D35

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Electronic fulltext finalized on: 16 Nov 2011. This page was last modified: 30 Nov 2011.

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