Estimates for The Hyper-Order of Solutions of Certain Linear Differential Equations |
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| Authors: | Jiang Liangying Chen Zongxuan |
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| Institution: | [1]Wuhan Institute of Physics and Mathematics, the Chinese Academy of Sciences, Wuhan 430071, China [2]Graduate School of the Chinese Academy of Sciences, Beijing 100039, China [3]Department of Mathematics, South China Normal University, Guangzhou 510631, China |
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| Abstract: | In this article, the authors study the growth of certain second order linear differential equation f" A(z)f' B(z)f = 0 and give precise estimates for the hyper- order of solutions of infinite order. Under similar conditions, higher order differential equations will be considered. |
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| Keywords: | Linear differential equation entire function hyper-order genus |
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