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- W4297173661 abstract "The study of sequences of polynomials satisfying high order recurrence relations is connected with the asymptotic behavior of multiple orthogonal polynomials, the convergence properties of type II Hermite-Pad'e approximation, and eigenvalue distribution of banded Toeplitz matrices. We present some results for the case of recurrences with constant coefficients which match what is known for the Chebyshev polynomials of the first kind. In particular, under appropriate assumptions, we show that the sequence of polynomials satisfies multiple orthogonality relations with respect to a Nikishin system of measures." @default.
- W4297173661 created "2022-09-27" @default.
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- W4297173661 date "2016-04-26" @default.
- W4297173661 modified "2023-09-27" @default.
- W4297173661 title "High order recurrence relation, Hermite-Pad'e approximation, and Nikishin systems" @default.
- W4297173661 doi "https://doi.org/10.48550/arxiv.1604.07772" @default.
- W4297173661 hasPublicationYear "2016" @default.
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