On zeros of polynomials orthogonal with respect to a quasi-definite inner product on the unit circle (Q1897638)

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scientific article; zbMATH DE number 792945
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On zeros of polynomials orthogonal with respect to a quasi-definite inner product on the unit circle
scientific article; zbMATH DE number 792945

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    On zeros of polynomials orthogonal with respect to a quasi-definite inner product on the unit circle (English)
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    4 September 1995
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    The authors study the zeros of polynomials which are orthogonal with respect to a quasi-definite linear functional on the unit circle. They consider general properties about the distribution of the zeros. They also examine the existence of sequences of orthogonal polynomials with prefixed zeros and finally they study the possibility of multiple zeros.
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    Toeplitz matrices
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    quasi-definite linear functionals
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    zeros
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    orthogonal polynomials
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