论文标题

零和系数

Zeros and coefficients

论文作者

Eremenko, Alexandre

论文摘要

证明了关于分析功能序列序列的渐近分布的两个定理。第一个将零的渐近行为与系数的渐近行为联系起来。第二定理建立了函数零的渐近行为与衍生物的零之间的关系。

Two theorems on the asymptotic distribution of zeros of sequences of analytic functions are proved. First one relates the asymptotic behavior of zeros to the asymptotic behavior of coefficients. Second theorem establishes a relation between the asymptotic behaviors of zeros of a function and zeros of derivative.

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