Baker-Akhiezer function as iterated residue and Selberg-type integral

Giovanni Felder; Alexander P. Veselov

Baker-Akhiezer function as iterated residue and Selberg-type integral

Mathematical Physics 2008-07-25 v1 math.MP Quantum Algebra

Authors: Giovanni Felder , Alexander P. Veselov

Abstract

A 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.

Keywords

special functions

Cite

@article{arxiv.0807.3895,
  title  = {Baker-Akhiezer function as iterated residue and Selberg-type integral},
  author = {Giovanni Felder and Alexander P. Veselov},
  journal= {arXiv preprint arXiv:0807.3895},
  year   = {2008}
}

Comments

13 pages, 2 figures

Baker-Akhiezer function as iterated residue and Selberg-type integral

Abstract

Keywords

Cite

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