Asymptotic properties of orthogonal polynomials from their recurrence formula. I (Q1070156)
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scientific article; zbMATH DE number 3933718
| Language | Label | Description | Also known as |
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| English | Asymptotic properties of orthogonal polynomials from their recurrence formula. I |
scientific article; zbMATH DE number 3933718 |
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Asymptotic properties of orthogonal polynomials from their recurrence formula. I (English)
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1985
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In this paper it is supposed that the coefficients in the recurrence formula for orthogonal polynomials have finite limits as the index goes to infinity over the set of even and odd integers. The asymptotic behavior of the ratio of two contiguous polynomials and the limiting zero distribution are discussed. Applications to quadrature formulas are given.
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recurrence formula for orthogonal polynomials
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quadrature formulas
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