# THE ZEROS DISTRIBUTION OF SOLUTIONS OF HIGHER ORDER DIFFERENTIAL EQUATIONS IN AN ANGULAR DOMAIN

• Huang, Zhibo (School of Mathematical Sciences South China Normal University) ;
• Chen, Zongxuan (School of Mathematical Sciences South China Normal University)
• Published : 2010.05.31
• 73 6

#### Abstract

In this paper, we investigate the zeros distribution and Borel direction for the solutions of linear homogeneous differential equation $f^{(n)}+A_{n-2}(z)f^{(n-2)}+{\cdots}+A_1(z)f'+A_0(z)f=0(n{\geq}2)$ in an angular domain. Especially, we establish a relation between a cluster ray of zeros and Borel direction.

#### Keywords

zeros distribution;linear differential equation;hyper order;Borel direction

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2. RADIAL OSCILLATION OF LINEAR DIFFERENTIAL EQUATION vol.49, pp.5, 2012, https://doi.org/10.4134/BKMS.2012.49.5.911