Explicit formulas for the distribution of complex zeros of a family of random sums

DOI10.1016/j.jmaa.2016.07.015zbMath1381.60086OpenAlexW2487911543MaRDI QIDQ739526

Andrew H. Ledoan

Publication date: 18 August 2016

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.07.015

zbMATH Keywords

Cholesky factorizationexplicit formularandom sumexpected number of zeros

Mathematics Subject Classification ID

Sums of independent random variables; random walks (60G50)

Related Items (4)

The density of complex zeros of random sums ⋮ The expected number of complex zeros of complex random polynomials ⋮ Zeros of random orthogonal polynomials with complex Gaussian coefficients ⋮ Zeros of complex random polynomials spanned by Bergman polynomials

Cites Work

• Zeros of polynomials with random coefficients
• Complex roots of a class of random algebraic polynomials
• Distribution of roots of random real generalized polynomials
• Complex roots of a random algebraic polynomial
• How many zeros of a random polynomial are real?
• On roots of random polynomials
• The Complex Zeros of Random Polynomials
• On the average number of real roots of a random algebraic equation
• A correction to “On the average number of real roots of a random algebraic equation”
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