On random orthogonal polynomials

DOI10.1155/S1048953301000223zbMath0986.60066OpenAlexW1970484890MaRDI QIDQ5952369

Kambiz Farahmand

Publication date: 29 May 2002

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/49209

zbMATH Keywords

Legendre polynomialKac-Rice formulanormal densitynumber of real rootssharp crossings

Mathematics Subject Classification ID

Harmonic analysis in several variables (42B99) Stochastic analysis (60H99)

Related Items (5)

The variance of the number of zeros for complex random polynomials spanned by OPUC ⋮ Expected number of real zeros for random orthogonal polynomials ⋮ Variance of real zeros of random orthogonal polynomials ⋮ Expected number of real zeros for random linear combinations of orthogonal polynomials ⋮ Expected number of real zeros for random Freud orthogonal polynomials

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