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Symmetry, Integrability and Geometry: Methods and Applications, 2015, Volume 11, 098, 7 pp.
DOI: https://doi.org/10.3842/SIGMA.2015.098 (Mi sigma1079) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

Alexei Borodina, Ivan Corwinbcd, Daniel Remenike

a Massachusetts Institute of Technology, Department of Mathematics, 77 Massachusetts Avenue, Cambridge, MA 02139-4307, USA
b Columbia University, Department of Mathematics, 2990 Broadway, New York, NY 10027, USA
c Institut Henri Poincaré, 11 Rue Pierre et Marie Curie, 75005 Paris, France
d Clay Mathematics Institute, 10 Memorial Blvd. Suite 902, Providence, RI 02903, USA
e Departamento de Ingeniería Matemática and Centro de Modelamiento Matemático, Universidad de Chile, Beauchef 851, Torre Norte, Santiago, Chile
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DOI: https://doi.org/10.3842/SIGMA.2015.098
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.
Keywords: Macdonald polynomials; Whittaker functions.
Received: September 3, 2015; in final form December 1, 2015; Published online December 3, 2015
Bibliographic databases:
Document Type: Article
MSC: 05E05; 33D52; 33D52; 82B23
Language: English
Citation: Alexei Borodin, Ivan Corwin, Daniel Remenik, “A Classical Limit of Noumi's $q$-Integral Operator”, SIGMA, 11 (2015), 098, 7 pp.
Citation in format AMSBIB
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\by Alexei~Borodin, Ivan~Corwin, Daniel~Remenik
\paper A Classical Limit of Noumi's $q$-Integral Operator
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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