An Electrostatic Interpretation of the Zeros of Paraorthogonal Polynomials on the Unit Circle
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Publication:2814479
DOI10.1137/151005415zbMath1341.42044arXiv1501.05672OpenAlexW2963897775MaRDI QIDQ2814479
Publication date: 22 June 2016
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1501.05672
Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05) Electro- and magnetostatics (78A30)
Related Items (14)
Markov's theorem for weight functions on the unit circle ⋮ Incenter of triangle as a stationary point ⋮ Stable equilibria for the roots of the symmetric continuous Hahn and Wilson polynomials ⋮ Zero spacings of paraorthogonal polynomials on the unit circle ⋮ Poncelet's theorem, paraorthogonal polynomials and the numerical range of compressed multiplication operators ⋮ Electrostatic partners and zeros of orthogonal and multiple orthogonal polynomials ⋮ Unnamed Item ⋮ On the spacing of zeros of paraorthogonal polynomials for singular measures ⋮ Minimal Energy Point Systems on the Unit Circle and the Real Line ⋮ Solutions of convex Bethe ansatz equations and the zeros of (basic) hypergeometric orthogonal polynomials ⋮ On monotonicity of zeros of paraorthogonal polynomials on the unit circle ⋮ On a class of biorthogonal polynomials on the unit circle ⋮ Electrostatic equilibria on the unit circle via Jacobi polynomials ⋮ Orthogonal polynomials and quadrature rules on the unit circle associated with perturbations of symmetric measures
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