A First Order q-Difference System for the BC1-Type Jackson Integral and Its Applications⋆
نویسنده
چکیده
We present an explicit expression for the q-difference system, which the BC1type 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 Gustafson and the product formula of the q-integral introduced by Nassrallah–Rahman and Gustafson.
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