On the sequences of zeros of holomorphic solutions of linear second-order differential equations

被引：0

作者：

B. V. Vinnitskii

E. V. Shavala

机构：

[1] Drogobych State Pedagogical University,

来源：

Differential Equations | 2008年 / 44卷

关键词：

Holomorphic Function; Russian Translation; Meromorphic Function; Connected Domain; Meromorphic Solution;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We find necessary and sufficient conditions under which a finite or infinite sequence of complex numbers is the sequence of zeros of a holomorphic solution of the linear differential equation f″ + a0f = 0 with a meromorphic coefficient a0 that has second-order poles. In addition, we present a criterion for all solutions of second-order linear equations to be meromorphic.

引用

页码：1361 / 1366

页数：5

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