Real zeros of random algebraic polynomials-Reference-Cited by-同舟云学术

Real zeros of random algebraic polynomials

Published:1991 Issue:4 Volume:113 Page:1077-1084
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Farahmand K.

Abstract

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1991-113-04/S0002-9939-1991-1077787-5/S0002-9939-1991-1077787-5.pdf

Reference9 articles.

1. On the average number of real roots of a random algebraic equation;Farahmand, Kambiz;Ann. Probab.,1986

2. The average number of level crossings of a random algebraic polynomial;Farahmand, K.;Stochastic Anal. Appl.,1988

3. I. A. Ibragimov and N. B. Maslova, On the expected number of real zeros of random polynomials. I. Coefficients with zero means, Theory Probab. Appl. 16 (1971), 228-248.

4. \bysame, On the expected number of real zeros of random polynomials. II. Coefficients with non-zero means, Theory Probab. Appl. 16 (1971), 485-493.

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