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A proof of Askey’s conjectured q-analogue of Selberg’s integral and a conjecture of Morris. (English) Zbl 0643.33004

Aomoto has recently given an extension of Selberg’s integral. We extend his proof to the q-case and establish a conjecture of Askey. Our result is equivalent to a constant term identity for the root system \(A_ n\). This extends a conjecture of Morris.

MSC:

33B15 Gamma, beta and polygamma functions
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