Tableau Formulas for One-Row Macdonald Polynomials of Types Cn and  Dn

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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11
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dc.contributor.author	Feigin, B.
dc.contributor.author	Hoshino, A.
dc.contributor.author	Noumi, M.
dc.contributor.author	Shibahara, J.
dc.contributor.author	Shiraishi, J.
dc.date.accessioned	2019-02-13T17:59:37Z
dc.date.available	2019-02-13T17:59:37Z
dc.date.issued	2015
dc.identifier.citation	Tableau Formulas for One-Row Macdonald Polynomials of Types Cn and Dn / B. Feigin, A. Hoshino, M. Noumi, J. Shibahara, J. Shiraishi // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 14 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 33D52; 33D80
dc.identifier.other	DOI:10.3842/SIGMA.2015.100
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147163
dc.description.abstract	We present explicit formulas for the Macdonald polynomials of types Cn and Dn in the one-row case. In view of the combinatorial structure, we call them ''tableau formulas''. For the construction of the tableau formulas, we apply some transformation formulas for the basic hypergeometric series involving very well-poised balanced ₁₂W₁₁ series. We remark that the correlation functions of the deformed W algebra generators automatically give rise to the tableau formulas when we principally specialize the coordinate variables.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Special Issue on Orthogonal Polynomials, Special Functions and Applications. The full collection is available at http://www.emis.de/journals/SIGMA/OPSFA2015.html. This study was carried out within The National Research University Higher School of Economics Academic Fund Program in 2013–2014, research grant No.12-01-0016k. Research of J.S. is supported by the Grant-in-Aid for Scientific Research C-24540206. The financial support from the Government of the Russian Federation within the framework of the implementation of the 5-100 Programme Roadmap of the National Research University Higher School of Economics is acknowledged. The authors sincerely thank the anonymous referees for valuable comments and informing them of the connection between one of our results (Theorem 2.2) and the known fact obtained in [7].	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Tableau Formulas for One-Row Macdonald Polynomials of Types Cn and Dn	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA