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Title: Baker-Akhiezer function as iterated residue and Selberg-type integral
Authors: Felder, G.
Veselov, A.P.
Issue Date: 2009
Publisher: Cambridge University Press / © Glasgow Mathematical Journal Trust
Citation: FELDER, G. and VESELOV, A.P., 2009. Baker-Akhiezer function as iterated residue and Selberg-type integral . Glasgow Mathematical Journal, 51 (A), pp. 59 - 73.
Abstract: A simple integral formula as an iterated residue is presented for the Baker–Akhiezer function related to An-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 deformed An,1-case. These formulas can be interpreted as new cases of explicit evaluation of Selberg-type integrals.
Description: This article was published in the serial, Glasgow Mathematical Journal [Cambridge University Press / © Glasgow Mathematical Journal Trust]. The definitive version is available at: http://dx.doi.org/10.1017/S0017089508004783
Sponsor: This work has been partially supported by the European Union through the FP6 Marie Curie RTN ENIGMA (Contract numberMRTN-CT-2004-5652) and ESF programme MISGAM and by the EPSRC (grant EP/E004008/1).
Version: Accepted for publication
DOI: 10.1017/S0017089508004783
URI: https://dspace.lboro.ac.uk/2134/16204
Publisher Link: http://dx.doi.org/10.1017/S0017089508004783
ISSN: 0017-0895
Appears in Collections:Published Articles (Maths)

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