Geodesic
BAKER–AKHIEZER FUNCTION AS ITERATED RESIDUE AND SELBERG-TYPE INTEGRAL
Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 59-73

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DOI

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.
DOI : 10.1017/S0017089508004783
Mots-clés : 33E30, 81R12 
FELDER, GIOVANNI; VESELOV, ALEXANDER P. BAKER–AKHIEZER FUNCTION AS ITERATED RESIDUE AND SELBERG-TYPE INTEGRAL. Glasgow mathematical journal, Tome 51 (2009) no. A, pp. 59-73. doi: 10.1017/S0017089508004783
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     author = {FELDER, GIOVANNI and VESELOV, ALEXANDER P.},
     title = {BAKER{\textendash}AKHIEZER {FUNCTION} {AS} {ITERATED} {RESIDUE} {AND} {SELBERG-TYPE} {INTEGRAL}},
     journal = {Glasgow mathematical journal},
     pages = {59--73},
     year = {2009},
     volume = {51},
     number = {A},
     doi = {10.1017/S0017089508004783},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089508004783/}
}
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