由线性微分方程生成的微分多项式

I. Laine, Jarkko Rieppo †
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引用次数: 51

摘要

本文研究复平面上由线性微分方程解生成的微分多项式的值分布理论。特别地,我们考虑归一化二阶微分方程f″+A(z)f=0,其中A(z)是完整的。我们的大多数结果都是在迭代顺序的意义上处理这类微分多项式的增长及其不动点的频率。
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Differential polynomials generated by linear differential equations
This article is devoted to considering value distribution theory of differential polynomials generated by solutions of linear differential equations in the complex plane. In particular, we consider normalized second-order differential equations f″+A(z)f=0, where A(z) is entire. Most of our results are treating the growth of such differential polynomials and the frequency of their fixed points, in the sense of iterated order.
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