The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class (Q1971739)
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scientific article; zbMATH DE number 1423191
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class |
scientific article; zbMATH DE number 1423191 |
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The fourth-order difference equation satisfied by the associated orthogonal polynomials of the \(\Delta\)-Laguerre-Hahn class (English)
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7 June 2000
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The authors present an algorithm which enables to write the general fourth-order difference equation satisfied by the associated orthogonal polynomials of any integer order of the \(\Delta\)-Laguerre-Hahn class, by using the \(D_\omega\)-Riccati difference equation satisfied by the Stieltjes function of a linear functional.
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fourth-order difference equation
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orthogonal polynomials
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\(\Delta\)-Laguerre-Hahn class
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\(D_\omega\)-Riccati difference equation
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