Real roots of random harmonic equations

zbMath0481.60067MaRDI QIDQ1162302

S. Singh

Publication date: 1982

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

orthonormal polynomialsreal roots of random harmonic equations

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Stochastic analysis (60H99)

Related Items (10)

Random orthonormal polynomials: Local universality and expected number of real roots ⋮ Expected number of real zeros for random orthogonal 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 ⋮ 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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