%0 Journal Article %A Felder, G. %A Veselov, Alexander %D 2014 %T Baker-Akhiezer function as iterated residue and Selberg-type integral %U https://repository.lboro.ac.uk/articles/journal_contribution/Baker-Akhiezer_function_as_iterated_residue_and_Selberg-type_integral/9387461 %2 https://repository.lboro.ac.uk/ndownloader/files/17000672 %K untagged %K Mathematical Sciences not elsewhere classified %X 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. %I Loughborough University