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

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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.

Abstract

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.

참고문헌 (14)

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