Bulletin of the
Korean Mathematical Society BKMS

In this paper, the radial oscillation of the solutions of higher order homogeneous linear differential equation $$f^{(k)}+A_{n-2}(z)f^{(k-2)}+\cdots+A_{1}(z)f'+A_{0}(z)f=0$$ with transcendental entire function coefficients is studied. Results are obtained to extend some results in [Z. Wu and D. Sun, Angular distribution of solutions of higher order linear differential equations, J. Korean Math. Soc. $\bf 44$ (2007), no. 6, 1329--1338].

Keywords: radial exponent of convergence, iterated order, sectorial oscillation, Borel direction

MSC numbers: Primary 30D30; Secondary 30D35, 34M20