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math.CA2017
Jacobi matrices generated by ratios of hypergeometric functions
Maxim Derevyagin
A problem of determining zeroes of the Gauss hypergeometric function goes back to Klein, Hurwitz, and Van Vleck. In this very short note we show how ratios of hypergeometric functi…
math.CA2017
Asymptotics for polynomials orthogonal in an indefinite metric
Maxim Derevyagin, Brian Simanek
We continue studying polynomials generated by the Szegő recursion when a finite number of Verblunsky coefficients lie outside the closed unit disk. We prove some asymptotic results…