Macdonald Polynomials of Type Cₙ with One-Column Diagrams and Deformed Catalan Numbers
We present an explicit formula for the transition matrix C from the type Cₙ degeneration of the Koornwinder polynomials P₍₁ᵣ₎(x|a,−a,c,−c|q,t) with one column diagrams, to the type Cₙ monomial symmetric polynomials m₍₁ᵣ₎(x). The entries of the matrix C enjoy a set of three-term recursion relations,...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2018 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2018
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/209856 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Macdonald Polynomials of Type Cₙ with One-Column Diagrams and Deformed Catalan Numbers / A. Hoshino, J. Shiraishi // Symmetry, Integrability and Geometry: Methods and Applications. — 2018. — Т. 14. — Бібліогр.: 22 назв. — англ. |