Real zeros of random algebraic polynomials

Author:
K. Farahmand

Journal:
Proc. Amer. Math. Soc. **113** (1991), 1077-1084

MSC:
Primary 60G99

MathSciNet review:
1077787

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Abstract | References | Similar Articles | Additional Information

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.

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DOI:
https://doi.org/10.1090/S0002-9939-1991-1077787-5

Keywords:
Number of real roots,
number of crossings,
Kac-Rice formula,
random algebraic polynomial

Article copyright:
© Copyright 1991
American Mathematical Society