The average number of real zeros of a random polynomial

DOI10.1002/cpa.3160220403zbMath0167.16604OpenAlexW2088464752MaRDI QIDQ5553997

Donald C. Stevens

Publication date: 1969

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cpa.3160220403

zbMATH Keywords

probability theory

Related Items (14)

Random polynomials having few or no real zeros ⋮ Real roots of random polynomials: expectation and repulsion ⋮ Expected number of real zeros for random orthogonal polynomials ⋮ Expected number of real zeroes of random Taylor series ⋮ The average number of level crossings of a random algebraic polynomial ⋮ The growth of the expected number of real zeros of a random polynomial with dependent coefficients ⋮ Joint distribution of conjugate algebraic numbers: a random polynomial approach ⋮ Some computations of expected number of real zeros of random polynomials ⋮ Expected number of real zeros for random linear combinations of orthogonal polynomials ⋮ Roots of random polynomials with coefficients of polynomial growth ⋮ Real roots near the unit circle of random polynomials ⋮ An upper bound for the expected number of real zeros of a random polynomial ⋮ Expected number of real zeros for random Freud orthogonal polynomials ⋮ Roots of random functions: A framework for local universality

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