English

A Classical Limit of Noumi's $q$-Integral Operator

Mathematical Physics 2015-12-04 v2 Combinatorics math.MP Exactly Solvable and Integrable Systems

Abstract

We demonstrate how a known Whittaker function integral identity arises from the t=0t=0 and q1q\to 1 limit of the Macdonald polynomial eigenrelation satisfied by Noumi's qq-integral operator.

Cite

@article{arxiv.1509.00701,
  title  = {A Classical Limit of Noumi's $q$-Integral Operator},
  author = {Alexei Borodin and Ivan Corwin and Daniel Remenik},
  journal= {arXiv preprint arXiv:1509.00701},
  year   = {2015}
}
R2 v1 2026-06-22T10:47:29.758Z