A First Order q-Difference System for the BC_1-Type Jackson Integral and Its Applications
We present an explicit expression for the q-difference system, which the BC_1-type Jackson integral (q-series) satisfies, as first order simultaneous q-difference equations with a concrete basis. As an application, we give a simple proof for the hypergeometric summation formula introduced by Gustafs...
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2009-04-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Online Access: | http://dx.doi.org/10.3842/SIGMA.2009.041 |