A determinant formula for a holonomic \(q\)-difference system associated with Jackson integrals of type \(BC_n\) (Q1019751)
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scientific article; zbMATH DE number 5559012
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A determinant formula for a holonomic \(q\)-difference system associated with Jackson integrals of type \(BC_n\) |
scientific article; zbMATH DE number 5559012 |
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A determinant formula for a holonomic \(q\)-difference system associated with Jackson integrals of type \(BC_n\) (English)
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28 May 2009
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The authors state an explicit product formula for the determinant of a matrix with entries given by Jackson integrals of type \(BC_{n} \) (a multisum generalization of a very -well- poised- balanced \(_{2r}{\psi}_{2r}\) basic hypergeometric series). The determinant satisfies a holomonic q-difference equation which has been constructed by using a set of new polynomials via the symplectic Schur functions.
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Jackson integral of type \(BC_{n}\)
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symplectic Schur functions
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Vandermonde type determinant
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0.9286737
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0.90754664
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0.88059235
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0.8797002
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0.8781869
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0.87528217
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0.8747946
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0.87346107
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0.8619242
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