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math.CA2025
Ratio asymptotics and zero density for orthogonal polynomials with varying Verblunsky coefficients
Rostyslav Kozhan, František Štampach
We study asymptotic behavior of orthogonal polynomials on the unit circle with varying Verblunsky coefficients when the ratio converges as . First, we…
math.CA2025
Zeros of Multiple Orthogonal Polynomials: Location and Interlacing
Rostyslav Kozhan, Marcus Vaktnäs
We prove a criterion on the possible locations of zeros of type I and type II multiple orthogonal polynomials in terms of normality of degree Christoffel transforms. We provide…