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

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dc.contributor.authorFeigin, B.
dc.contributor.authorHoshino, A.
dc.contributor.authorNoumi, M.
dc.contributor.authorShibahara, J.
dc.contributor.authorShiraishi, J.
dc.date.accessioned2019-02-13T17:59:37Z
dc.date.available2019-02-13T17:59:37Z
dc.date.issued2015
dc.description.abstractWe 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.sponsorshipThis 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.identifier.citationTableau 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.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 33D52; 33D80
dc.identifier.otherDOI:10.3842/SIGMA.2015.100
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147163
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleTableau Formulas for One-Row Macdonald Polynomials of Types Cn and Dnuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2015, том 11, випуск за цей рік