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In this paper, we investigate the zeros distribution and Borel direction for the solutions of linear homogeneous differential equation f(n) + An-2(z)f(n-2) +...+ A1(z)f′ + A0(z)f = 0 (n≥2) in an angular domain. Especially, we establish a relation between a cluster ray of zeros and Borel direction. © 2010 The Korean Mathematical Society.

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