On the distribution of the number of real zeros of a random polynomial

被引：0

作者：

Zaporozhets D.N. ^{[1
]}

机构：

[1] St. Petersburg Department, Steklov Mathematical Institute, St. Petersburg

来源：

Journal of Mathematical Sciences | 2006年 / 137卷 / 1期

关键词：

Complex Plane; Real Axis; Real Zero; Integral Geometry; Vandermonde Matrix;

D O I：

10.1007/s10958-006-0245-0

中图分类号：

学科分类号：

摘要：

In this note we find the distibution of the number of real zeros of a random polynomial. We also derive a formula for the expected number of complex zeros lying in a given domain of the complex plane. Bibliography: 7 titles. © 2006 Springer Science+Business Media, Inc.

引用

页码：4525 / 4530

页数：5

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