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Growth and oscillation of differential polynomials in the unit disc.

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dc.contributor.author Belaidi, Benharrat
dc.contributor.author El Farissi, Abdallah
dc.contributor.author Latreuch, Zinelaabidine
dc.date.accessioned 2019-05-30T08:47:33Z
dc.date.available 2019-05-30T08:47:33Z
dc.date.issued 2010
dc.identifier.issn 1072-6691
dc.identifier.uri http://e-biblio.univ-mosta.dz/handle/123456789/10437
dc.description.abstract 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. 1. Introduction and main results The study on value distribution of differential polynomials generated by solutions of a given complex differential equation in the case of complex plane seems to have been started by Bank [1]. Since then a number of authors have been working on the subject. Many authors have investigated the growth and oscillation of the solutions of complex linear differential equations in C, see [2, 4, 7, 1 0, 1 3, 1 7, 1 8, 1 9, 2 1, 25, 28]. In the unit disc, there already exist many results [3, 5, 6, 8, 9, 1 5, 1 6, 20, 23, 24, 29], but the study is more difficult than that in the complex plane. Recently, Fenton- en_US
dc.publisher Electronic Journal of Differential Equations (EJDE)[electronic only] en_US
dc.subject Linear differential equations en_US
dc.subject analytic solutions en_US
dc.subject hyper order en_US
dc.subject exponent of convergence en_US
dc.subject hyper exponent of convergence en_US
dc.title Growth and oscillation of differential polynomials in the unit disc. en_US
dc.type Article en_US

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