The Zeros Distribution of Hyper Solutions of Higher Order Differential Equations in Angular Domain.

In this paper, we investigate the location of zeros and Borel direction for the solutions of equations f(n) + An-2(z)f(n-2) + ⋯ + A1(z)f' + A0(z)f = 0(n≥2) (*) in an angular domain and obtain a sufficient and necessary condition between Borel direction and the hyper order exponent of convergence of zero sequence of E = f1 f2 ⋯ fn, where f1, f2,ȮG;, fn are n linearly independent solutions of the equation (*). This paper extends previous results. [ABSTRACT FROM AUTHOR]

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