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Real zeros of random algebraic polynomials


Author: K. Farahmand
Journal: Proc. Amer. Math. Soc. 113 (1991), 1077-1084
MSC: Primary 60G99
DOI: https://doi.org/10.1090/S0002-9939-1991-1077787-5
MathSciNet review: 1077787
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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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Additional Information

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

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