A note on the complex roots of complex random polynomials

DOI10.1016/S0167-7152(99)00007-3zbMath0963.60049MaRDI QIDQ1962193

Alessandro Ramponi

Publication date: 21 June 2001

Published in: Statistics \& Probability Letters (Search for Journal in Brave)

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Stochastic processes (60G99)

Related Items (9)

Real zeros of random algebraic polynomials with binomial elements ⋮ REAL ZEROS OF ALGEBRAIC POLYNOMIALS WITH STABLE RANDOM COEFFICIENTS ⋮ On different classes of algebraic polynomials with random coefficients ⋮ The Expected Number of Real Zeros of Algebraic Polynomials with Dependent and Non-Identical Random Coefficients ⋮ Algebraic polynomials with random non-symmetric coefficients ⋮ On zeros of self-reciprocal random algebraic polynomials ⋮ Covariance of the Number of Real Zeros of a Random Algebraic Polynomial with Binomial Elements ⋮ Algebraic polynomials with non-identical random coefficients ⋮ Zeros of a random algebraic polynomial with coefficient means in geometric progression

Cites Work

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• Complex roots of a random algebraic polynomial
• On roots of random polynomials
• The Complex Zeros of Random Polynomials
• The Number of Real Zeros of a Class of Random Algebraic Polynomials
• A correction to “On the average number of real roots of a random algebraic equation”

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