On the distribution function of the values of orthogonal polynomials (Q1406398)
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scientific article; zbMATH DE number 1974841
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the distribution function of the values of orthogonal polynomials |
scientific article; zbMATH DE number 1974841 |
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On the distribution function of the values of orthogonal polynomials (English)
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4 September 2003
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Let \(p\) be a weight function on the segment \( \Delta = [-1,1] \) and \(P_n\), \( n\in N_0\), be the corresponding sequence of the orthonormalized polynomials \[ \int\limits_\Delta P_n(x)P_m(x)p(x) dx = \delta_{nm},\quad n, m\in N_0. \] The author investigates the distribution function of the values of the orthonormalized polynomial module.
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orthonormalized polynomial module
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distribution function
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Szegő class
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weight function
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