论文标题

关于非均匀的通风方程解决方案的零的注释

Notes on the zeros of the solutions of the non-homogeneous Airy's equation

论文作者

Zullo, Federico

论文摘要

我们对非均匀通风方程的解决方案的零零分布进行了一些观察。我们展示了具有简单零和特定溶液的主要解决方案家族的存在,其特征在于复杂平面的给定位置。引入了描述零分布的递归,并讨论了其适用性的限制。可以将结果视为对相应均匀方程解决方案的零分布的先前作品的概括

We present some observations on the distribution of the zeros of solutions of the nonhomogeneous Airy's equation. We show the existence of a principal family of solutions, with simple zeros, and particular solutions, characterized by a double zero in a given position of the complex plane. A recursion, describing the distribution of the zeros, is introduced and the limits of its applicability are discussed. The results can be considered a generalization of previous works on the distribution of the zeros for the solutions of the corresponding homogeneous equation

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