Real Zeros of a Random Sum of Orthogonal Polynomials
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Publication:5614301
DOI10.2307/2037279zbMath0212.49401OpenAlexW4238401039MaRDI QIDQ5614301
Publication date: 1971
Full work available at URL: https://doi.org/10.2307/2037279
Probability theory on algebraic and topological structures (60B99) Limit theorems in probability theory (60F99)
Related Items (14)
Random orthonormal polynomials: Local universality and expected number of real roots ⋮ Expected number of real zeros for random orthogonal polynomials ⋮ Counting Zeros of Random Functions ⋮ The density of complex zeros of random sums ⋮ The expected value of the number of real zeros of a random sum of Legendre polynomials ⋮ Real zeros of random sums with i.i.d. coefficients ⋮ An asymptotic expansion for the expected number of real zeros of Kac-Geronimus polynomials ⋮ Expected number of real roots for random linear combinations of orthogonal polynomials associated with radial weights ⋮ Zeros of random orthogonal polynomials with complex Gaussian coefficients ⋮ Variance of real zeros of random orthogonal polynomials ⋮ Expected number of real zeros for random linear combinations of orthogonal polynomials ⋮ An asymptotic expansion for the expected number of real zeros of real random polynomials spanned by OPUC ⋮ Variance of real zeros of random orthogonal polynomials for varying and exponential weights ⋮ Expected number of real zeros for random Freud orthogonal polynomials
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