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<p>In this paper, we study the common Borel directions of an entire function <i>f</i> and its (anti)derivatives, as well as the common Julia limiting directions of <i>f</i> and its (anti)derivatives, where <i>f</i> is an infinite-order solution of linear complex differential equations. Our main results provide lower bounds for the measure of the intersection of both the set of common Borel directions and the set of the common Julia limiting directions of these solutions.</p>

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On the Intersection of Borel Directions and Julia Limiting Directions of the Solutions to Complex Differential Equations

  • 期刊论文

  • 发表日期：

    2025年2月18日

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  • Guowei Zhang,
  • Lianzhong Yang

摘要

In this paper, we study the common Borel directions of an entire function f and its (anti)derivatives, as well as the common Julia limiting directions of f and its (anti)derivatives, where f is an infinite-order solution of linear complex differential equations. Our main results provide lower bounds for the measure of the intersection of both the set of common Borel directions and the set of the common Julia limiting directions of these solutions.