A new multidimensional matrix inverse with applications to multiple \(q\)-series (Q1300979)
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scientific article; zbMATH DE number 1331476
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new multidimensional matrix inverse with applications to multiple \(q\)-series |
scientific article; zbMATH DE number 1331476 |
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A new multidimensional matrix inverse with applications to multiple \(q\)-series (English)
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23 November 1999
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The authors compute the inverse of a specific \(r\)-dimensional matrix, generalizing matrix inverses given by Krattenthaler and Chu. As applications they derive some multidimensional \(q\)-series identities. Among these are \(q\)-analogues of Carlitz' multidimensional Abel-type expansion formulas, and a \(q\)-analogue of MacMahon's Master Theorem.
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matrix inversion
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inverse relations
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basic hypergeometric series
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\(q\)-Abel identities
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\(q\)-Rothe identities
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MacMahon's Master Theorem
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