Abdallah El Farissi, Benharrat Belaidi, Zinelaabidine Latreuch Absrtract: In this article, we give sufficiently conditions for the solutions and the differential polynomials generated by second-order differential equations to have the same properties of growth and oscillation. Also answer to the question posed by Cao [6] for the second-order linear differential equations in the unit disc.
Submitted March 24, 2010. Published June 21, 2010.
Math Subject Classifications: 34M10, 30D35.
Key Words: Linear differential equations; analytic solutions;
hyper order; exponent of convergence;
hyper exponent of convergence.
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Abdallah El Farissi Department of Mathematics Laboratory of Pure and Applied Mathematics University of Mostaganem, B. P. 227 Mostaganem, Algeria email: elfarissi.abdallah@yahoo.fr |
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Benharrat Belaïdi Department of Mathematics Laboratory of Pure and Applied Mathematics University of Mostaganem, B. P. 227 Mostaganem, Algeria email: belaidibenharrat@yahoo.fr |
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Zinelaâbidine Latreuch Department of Mathematics Laboratory of Pure and Applied Mathematics University of Mostaganem, B. P. 227 Mostaganem, Algeria email: z.latreuch@gmail.com |
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