Polynomials biorthogonal to dilations of measures, and their asymptotics (Q713438)

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scientific article; zbMATH DE number 6099583
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Polynomials biorthogonal to dilations of measures, and their asymptotics
scientific article; zbMATH DE number 6099583

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    Polynomials biorthogonal to dilations of measures, and their asymptotics (English)
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    29 October 2012
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    A. Sidi has introduced some classes of polynomials \(P_n\) which are determined by biorthogonality conditions and both authors have explored these polynomials and their zero distribution in earlier papers. In this paper the authors establish a strong form of asymptotics for \(R_n\) polynomials which are the dilation polynomials associated with \(P_n\) and show that they lead to strong asymptotics for \(P_n\).
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    biorthogonal
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    asymptotics
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    polynomials
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