Ladder operators for \(q\)-orthogonal polynomials (Q930969)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ladder operators for \(q\)-orthogonal polynomials |
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Ladder operators for \(q\)-orthogonal polynomials (English)
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24 June 2008
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The authors construct the \(q\)-difference analog of the ladder operators for orthogonal polynomials related to a class of indeterminate moment problem. A general theorem is proved giving auxiliary relations to define the so-called lowering and rasing operators for polynomials which are orthogonal with respect to absolutely continuous measures. In particular, the Stieltjes-Wigert and \(q\)-Laguerre polynomials are investigated.
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difference equations
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orthogonal polynomials and their \(q\)-analogues
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moment problems
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