Bulletin of the
Korean Mathematical Society
BKMS
Article
ALL ARTICLES
View
Bull. Korean Math. Soc. 2010; 47(3): 443-454
Printed May 1, 2010
https://doi.org/10.4134/BKMS.2010.47.3.443
Copyright © The Korean Mathematical Society.
The zeros distribution of solutions of higher order differential equations in an angular domain
Zhibo Huang and Zongxuan Chen
South China Normal University and South China Normal University
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
MSC numbers: 30D35
Article Tools
Stats or Metrics
Share this article on :
Related articles in BKMS
-
On radial oscillation of entire solutions to nonhomogeneous algebraic differential equations
2018; 55(2): 545-559
-
Radial oscillation of linear differential equation
2012; 49(5): 911-921
-
Zeros of solutions of second order linear differential equations with coefficients of small lower growth
2003; 40(2): 235-241
-
On factorization of solutions to second order linear differential equations
2005; 42(1): 203-211
© 2022. The Korean Mathematical Society. Powered by INFOrang Co., Ltd