Journal of the
Korean Mathematical Society JKMS

In this paper, we study the location of zeros and Borel direction for the solutions of linear homogeneous differential equations $$f^{(n)}+A_{n-1}(z)f^{(n-1)}+\cdots+A_{1}(z)f'+A_{0}(z)f=0$$ with entire coefficients. Results are obtained concerning the rays near which the exponent of convergence of zeros of the solutions attains its Borel direction. This paper extends previous results due to S. J. Wu and other authors.

Keywords: Borel direction, hyper order, the exponent of convergence of zeros

MSC numbers: Primary 30D30, 30D35