2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/165659A 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.13 pages, 2 figuresMathematical PhysicsQuantum Algebra81R12text