A Classical Limit of Noumi's $q$-Ibispectrality; multi-component KP hierarchy; Darboux transformations; noncommutative solitonsntegral Operator

Symmetry Integrability and Geometry-Methods and Applications

article

Alexei BORODIN¹  Ivan CORWIN²  Daniel REMENIK⁵ 

[1] Massachusetts Institute of Technology, Department of Mathematics;Columbia University, Department of Mathematics;Clay Mathematics Institute;Institut Henri Poincar´e;Universidad de Chile

关键词: Macdonald polynomials;    Whittaker functions;   

DOI  :  10.3842/SIGMA.2015.098

来源: National Academy of Science of Ukraine

【 摘 要 】

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

【 授权许可】

Unknown