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

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2015
• ISSN: 1815-0659
• Main Authors: Feigin, B., Hoshino, A., Noumi, M., Shibahara, J., Shiraishi, J.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2015
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/147163
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: 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.

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 hypergeo...