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.
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页码：4525 / 4530
页数：5
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