REAL ZEROS OF RANDOM ALGEBRAIC POLYNOMIALS

被引：11

作者：

FARAHMAND, K

机构：

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1991年 / 113卷 / 04期

关键词：

NUMBER OF REAL ROOTS; NUMBER OF CROSSINGS; KAC-RICE FORMULA; RANDOM ALGEBRAIC POLYNOMIAL;

D O I：

10.2307/2048787

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

There are many known asymptotic estimates of the expected number of real zeros of algebraic polynomials with independent random coefficients of equal means. The present paper considers the case when the means of the coefficients are not all necessarily equal. The expected number of crossings of two algebraic polynomials with unequal degree flows from the results.

引用

页码：1077 / 1084

页数：8

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