Abstract
AbstractA simple integral formula as an iterated residue is presented for the Baker–Akhiezer function related toAn-type root system in both the rational and trigonometric cases. We present also a formula for the Baker–Akhiezer function as a Selberg-type integral and generalise it to the deformedAn,1-case. These formulas can be interpreted as new cases of explicit evaluation of Selberg-type integrals.
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