A Classical Limit of Noumi's q-Integral Operator

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 03 Dec 2015Embargo end date: 01 Sep 2015 Chile, United States Publisher:SIGMA (Symmetry, Integrability and Geometry: Methods and Application)Journal:Symmetry, Integrability and Geometry: Methods and Applications (eissn: 1815-0659,

Copyright policy )Funded by:NSF | Growth of random surfaces, NSF | Exact solvability of the ...

Authors: Borodin, Alexei; Corwin, Iván; Remenik Zisis, Daniel;

doi: 10.3842/sigma.2015.098 , 10.48550/arxiv.1509.00701

arXiv: 1509.00701

handle: 1721.1/110632

A Classical Limit of Noumi's q-Integral Operator

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Abstract

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.

Countries

Chile, United States

Related Organizations

University of Chile
Chile
Henri Poincaré Institute
France
Massachusetts Institute of Technology
United States
King’s University
United States
Clay Mathematics Institute
United States

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Keywords

Symmetric functions and generalizations, Whittaker functions, Nonlinear Sciences - Exactly Solvable and Integrable Systems, FOS: Physical sciences, Mathematical Physics (math-ph), Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.), FOS: Mathematics, Mathematics - Combinatorics, Macdonald polynomials, Combinatorics (math.CO), Exactly Solvable and Integrable Systems (nlin.SI), Exactly solvable models; Bethe ansatz, Mathematical Physics

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