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• W2963897775 abstract "We show that if $mu$ is a probability measure with infinite support on the unit circle having no singular component and a differentiable weight, then the corresponding paraorthogonal polynomial $Phi_n(z;beta)$ solves an explicit second order linear differential equation. We also show that if $tauneqbeta$, then the pair $(Phi_n(z;beta),Phi_n(z;tau))$ solves an explicit first order linear system of differential equations. One can use these differential equations to deduce that the zeros of every paraorthogonal polynomial mark the locations of a set of particles that are in electrostatic equilibrium with respect to a particular external field." @default.
• W2963897775 created "2019-07-30" @default.
• W2963897775 creator A5052871652 @default.
• W2963897775 date "2016-01-01" @default.
• W2963897775 modified "2023-10-18" @default.
• W2963897775 title "An Electrostatic Interpretation of the Zeros of Paraorthogonal Polynomials on the Unit Circle" @default.
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• W2963897775 doi "https://doi.org/10.1137/151005415" @default.
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