Baker-Akhiezer function as iterated residue and Selberg-type integral

Details Baker-Akhiezer function as iterated residue and Selberg-type integral Baker-Akhiezer function as iterated residue and Selberg-type integral

2008-07-24

arxiv.org/abs/0807.3895v1

Physics

Mathematical Physics

13 pages, 2 figures

Scientific paper

A simple integral formula as an iterated residue is presented for the Baker-Akhiezer function related to $A_n$ type root system both in 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 deformed $A_{n,1}$-case. These formulas can be interpreted as new cases of explicit evaluation of Selberg-type integrals.

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