SOME OSCILLATION RESULTS FOR LINEAR DIFFERENTIAL EQUATIONS IN THE COMPLEX PLANE

Abstract. This paper investages certain complex oscillation problems of higher order ordinary differential equations. Our main consideration here are those equations whose coefficients have zero deficiencies in the sense of Nevanlinna. We shall give generalization of results previously obtained in [3] and [8] for second order differential equations. This extends one of the original ideas first appeared in [1] for second order equations. We shall also give examples to show that our results are sharp in a certain sense