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math.CA2026
Asymptotics of the coefficients of polynomials, asymptotic zero distribution and free probability
Walter Van Assche
The asymptotic behavior of the coefficients of a sequence of polynomials is given under the conditions that all the zeros are real and positive and the zeros have an asymptotic zer…
math.CA2026
Ratio and limiting zero distribution asymptotics for symmetric multiple orthogonal polynomials
Ana Loureiro, Walter Van Assche
We investigate the ratio asymptotics and the asymptotic zero distribution of a sequence of polynomials that satisfy a recurrence relation of order with all recurrence coeffic…