Orthogonal polynomials with asymptotically periodic recurrent coefficients (Q1083637)
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scientific article; zbMATH DE number 3975572
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Orthogonal polynomials with asymptotically periodic recurrent coefficients |
scientific article; zbMATH DE number 3975572 |
Statements
Orthogonal polynomials with asymptotically periodic recurrent coefficients (English)
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1986
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The authors take up the case of those class of orthogonal polynomials whose coefficients are asymptotically periodic (see, for example, \textit{T. J. Stieltjes} [Ann. Fac. Sci. Toulouse 8J, 1-122 (1894), and 9A, 1-47 (1895)]). The measure associated with the three-term recurrence formula satisfies by these polynomials is constructed. They also discuss the asymptotic behavior of such polynomials.
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asymptotically periodic coefficients
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scattering theory
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three-term recurrence formula
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