On the Exponent of Convergence for the Zeros of the Solutions of [inline-graphic not available: see fulltext]

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作者
Abdullah Alotaibi
机构
[1] King Abdulaziz University,Department of Mathematics
来源
Journal of Inequalities and Applications | / 2010卷
关键词
Positive Constant; Entire Function; Meromorphic Function; Nontrivial Solution; Linear Differential Equation;
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摘要
Let [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext] be entire functions of order less than 1 with [inline-graphic not available: see fulltext] and [inline-graphic not available: see fulltext] transcendental. We prove that every solution [inline-graphic not available: see fulltext] of the equation [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext], [inline-graphic not available: see fulltext][inline-graphic not available: see fulltext] being has zeros with infinite exponent of convergence.
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