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

[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.

[关键词] Macdonald polynomials;Whittaker functions