On Schur parameters in Steklov's problem

DOI10.1016/j.jat.2016.11.009zbMath1378.42013arXiv1606.04571OpenAlexW2962771309MaRDI QIDQ505897

Sergey A. Denisov, Keith Rush

Publication date: 26 January 2017

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1606.04571

zbMATH Keywords

orthogonal polynomialsSteklov's conjecturerecursion parameters

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05)

Related Items (1)

On recurrence coefficients of Steklov measures

Uses Software

• DLMF

Cites Work

• Remark on the formula by Rakhmanov and Steklov's conjecture
• Asymptotics of orthogonal polynomials for a weight with a jump on \([-1,1\)]
• Asymptotics of Toeplitz, Hankel, and Toeplitz+Hankel determinants with Fisher-Hartwig singularities
• V. A. Steklov's problem in the theory of orthogonal polynomials
• The isomonodromy approach to matrix models in 2D quantum gravity
• Asymptotics of orthogonal polynomials with respect to an analytic weight with algebraic singularities on the circle
• Hankel determinant and orthogonal polynomials for the Gaussian weight with a jump
• ON STEKLOV'S CONJECTURE IN THE THEORY OF ORTHOGONAL POLYNOMIALS
• ESTIMATES OF THE GROWTH OF ORTHOGONAL POLYNOMIALS WHOSE WEIGHT IS BOUNDED AWAY FROM ZERO
• On the distribution of the length of the longest increasing subsequence of random permutations
• The growth of polynomials orthogonal on the unit circle with respect to a weight $w$ that satisfies $w,w^{-1}\in L^\infty( {\mathbb{T}})$
• On a problem by Steklov
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