Zeros of complex random polynomials spanned by Bergman polynomials

DOI10.2140/involve.2021.14.271zbMath1469.30015arXiv2007.03445OpenAlexW3148829339MaRDI QIDQ2037278

Marianela Landi, Kayla Johnson, Garrett Moseley, Aaron M. Yeager

Publication date: 30 June 2021

Published in: Involve (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.03445

zbMATH Keywords

random polynomialsBergman polynomialsUllman-Stahl-Totik regular

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) Probability theory on algebraic and topological structures (60B99) Asymptotic representations in the complex plane (30E15) Kernel functions in one complex variable and applications (30C40)

Cites Work

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• Zeros of polynomials with random coefficients
• Explicit formulas for the distribution of complex zeros of a family of random sums
• Universality type limits for Bergman orthogonal polynomials
• Über die Nullstellenverteilung zufälliger Polynome
• Linear functionals of eigenvalues of random matrices
• On the Roots of Certain Algebraic Equations
• On the average number of real roots of a random algebraic equation
• Mathematical Analysis of Random Noise

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