Macdonald polynomials of type \(C_n\) with one-column diagrams and deformed Catalan numbers
From MaRDI portal
Publication:1616713
DOI10.3842/SIGMA.2018.101zbMath1401.33014arXiv1801.09939OpenAlexW2786048768MaRDI QIDQ1616713
Jun'ichi Shiraishi, Ayumu Hoshino
Publication date: 7 November 2018
Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1801.09939
Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Basic orthogonal polynomials and functions associated with root systems (Macdonald polynomials, etc.) (33D52)
Related Items
Specializing Koornwinder polynomials to Macdonald polynomials of type \(B\), \(C\), \(D\) and \(BC\), Branching rules for Koornwinder polynomials with one column diagrams and matrix inversions, An elliptic hypergeometric function approach to branching rules
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Some conjectures for Macdonald polynomials of type \(B,C,D\)
- \(BC_n\)-symmetric abelian functions
- Tableau formulas for one-row Macdonald polynomials of types \(C_n\) and \(D_n\)
- Transformations of elliptic hypergeometric integrals
- Kernel functions for difference operators of Ruijsenaars type and their applications
- q-Catalan numbers
- \(BC\)-type interpolation Macdonald polynomials and binomial formula for Koornwinder polynomials
- A Catalan triangle
- Orthogonal polynomials associated with root systems
- A duality of MacDonald-Koornwinder polynomials and its application to integral representations
- Some transformation formulas associated with Askey-Wilson polynomials and Lassalle's formulas for Macdonald-Koornwinder polynomials
- Macdonald polynomials, Laumon spaces and perverse coherent sheaves
- A Matrix Inverse
- Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
- A new matrix inverse
- Bounded Littlewood identities
