A formula for two-row Macdonald functions
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Publication:1196412
DOI10.1215/S0012-7094-92-06714-7zbMath0772.05096OpenAlexW1996683255MaRDI QIDQ1196412
Naihuan Jing, Tadeusz Józefiak
Publication date: 14 December 1992
Published in: Duke Mathematical Journal (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1215/s0012-7094-92-06714-7
Related Items
\(q\)-hypergeometric series and Macdonald functions ⋮ \(S\)-functions, spectral functions of hyperbolic geometry, and vertex operators with applications to structure for Weyl and orthogonal group invariants ⋮ Factorizations of Pieri rules for Macdonald polynomials ⋮ A family of integral transformations and basic hypergeometric series ⋮ On vertex operator realizations of Jack functions ⋮ Applications of a Laplace-Beltrami operator for Jack polynomials ⋮ Asymptotic formulas for Macdonald polynomials and the boundary of the \((q,t)\)-Gelfand-Tsetlin graph ⋮ An analytic formula for Macdonald polynomials ⋮ Macdonald symmetric functions of rectangular shapes ⋮ A generalization of Newton's identity and Macdonald functions ⋮ Some Particular Entries of the Two-Parameter Kostka Matrix ⋮ An (inverse) Pieri formula for Macdonald polynomials of type \(C\) ⋮ Inversion of the Pieri formula for Macdonald polynomials ⋮ A formula for \(n\)-row Macdonald polynomials ⋮ Recurrence formulas for Macdonald polynomials of type \(A\) ⋮ A conjecture about raising operators for Macdonald polynomials
Cites Work
- Vertex operators, symmetric functions, and the spin group \(\Gamma_ n\)
- A Bernstein-type formula for projective representations of \(S_ n\) and \(A_ n\)
- Representations of finite classical groups. A Hopf algebra approach
- Vertex operators and Hall-Littlewood symmetric functions
- Some combinatorial properties of Jack symmetric functions
- A new class of symmetric functions
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