An integral representation of eigenfunctions for Macdonald's \(q\)-difference operators (Q1384459)
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scientific article; zbMATH DE number 1140485
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An integral representation of eigenfunctions for Macdonald's \(q\)-difference operators |
scientific article; zbMATH DE number 1140485 |
Statements
An integral representation of eigenfunctions for Macdonald's \(q\)-difference operators (English)
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1997
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The authors study the eigenvalue problem for Macdonald's commuting family of \(q\)-difference operators \(D^r_y\); and they obtain eigenfunctions in terms of \(q\)-Selberg type integrals. In addition, a different treatment of the particular case \(r=1\) is given.
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eigenfunctions
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\(q\)-difference operators
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