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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 054, 40 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.054 (Mi sigma400) 		 
This article is cited in 36 scientific papers (total in 36 papers)

Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications

Yasushi Komoria, Masatoshi Noumib, Jun'ichi Shiraishic

a Graduate School of Mathematics, Nagoya University, Chikusa-Ku, Nagoya 464-8602, Japan
b Department of Mathematics, Kobe University, Rokko, Kobe 657-8501, Japan
c Graduate School of Mathematical Sciences, University of Tokyo, Komaba, Tokyo 153-8914, Japan
Full-text PDF (455 kB) Citations (36)
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DOI: https://doi.org/10.3842/SIGMA.2009.054
Abstract: A unified approach is given to kernel functions which intertwine Ruijsenaars difference operators of type $A$ and of type $BC$. As an application of the trigonometric cases, new explicit formulas for Koornwinder polynomials attached to single columns and single rows are derived.
Keywords: kernel function; Ruijsenaars operator; Koornwinder polynomial.
Received: December 1, 2008; in final form April 30, 2009; Published online May 12, 2009
Bibliographic databases:
Document Type: Article
MSC: 81R12; 33D67
Language: English
Citation: Yasushi Komori, Masatoshi Noumi, Jun'ichi Shiraishi, “Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications”, SIGMA, 5 (2009), 054, 40 pp.
Citation in format AMSBIB
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\by Yasushi Komori, Masatoshi Noumi, Jun'ichi Shiraishi
\paper Kernel Functions for Difference Operators of Ruijsenaars Type and Their Applications
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    • This publication is cited in the following 36 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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