BAKER–AKHIEZER FUNCTION AS ITERATED RESIDUE AND SELBERG-TYPE INTEGRAL

FELDER, GIOVANNI ; VESELOV, ALEXANDER P.

Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 59-73

Résumé

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.

Détail

DOI : 10.1017/S0017089508004783

Mots-clés : 33E30, 81R12

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