Probabilistic zero bounds of certain random polynomials

DOI10.2478/jamsi-2024-0004MaRDI QIDQ6567859

Mohammad Ibrahim Mir, Sajad Ahmad Sheikh

Publication date: 5 July 2024

Published in: Journal of Applied Mathematics, Statistics and Informatics (Search for Journal in Brave)

zbMATH Keywords

error functionprobability density functionrandom polynomialsCauchy distributionnormal random variableprobabilistic bounds

Mathematics Subject Classification ID

Inequalities; stochastic orderings (60E15) Probability distributions: general theory (60E05) Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Approximations to statistical distributions (nonasymptotic) (62E17)

Cites Work

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• An infinite family of bounds on zeros of analytic functions and relationship to Smale’s bound
• The Complex Zeros of Random Polynomials
• On the Number of Real Roots of a Random Algebraic Equation
• On the average number of real roots of a random algebraic equation
• On the location of the zeros of a polynomial

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