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Existence of meromorphic solutions of some higher order linear differential equations
Authors:Xiaomei ZHANG  Daochun SUN
Affiliation:1. Basic Teaching Department, Guangzhou Civil Aviation College, Guangzhou 510403, China;2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China
Abstract:This article discusses the problems on the existence of meromorphic solutions of some higher order linear differential equations with meromorphic coefficients. Some nice results are obtained. And these results perfect the complex oscillation theory of meromorphic solutions of linear differential equations.
Keywords:Higher order linear differential equation  meromorphic coefficient  meromorphic solutions  the first coefficient
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