Rahman's biorthogonal rational functions and superconformal indices (Q1647958)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Rahman's biorthogonal rational functions and superconformal indices |
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Rahman's biorthogonal rational functions and superconformal indices (English)
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27 June 2018
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The biorthogonal functions related to basic hypergeometric integrals with coupled continuous and discrete components are investigated. The paper starts with a beautiful sketch of the historical development of the classical orthogonal polynomials. Next, the author gives two new basic hypergeometric summation formulas which are bilateral extensions of the Jackson and q-Saalschütz summation. The decoupling phenomenon and related two-index biorthogonal systems for integrals arising as super conformal indices are investigated and obtained some new interesting results.
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biorthogonal rational function
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basic hypergeometric series
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basic hypergeometric integral
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superconformal index
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