Selberg integrals, Askey-Wilson polynomials and lozenge tilings of a hexagon with a triangular hole
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Publication:891825
DOI10.1016/j.jcta.2015.09.006zbMath1326.05012arXiv1503.00971OpenAlexW2964296833MaRDI QIDQ891825
Publication date: 17 November 2015
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1503.00971
Exact enumeration problems, generating functions (05A15) Combinatorial aspects of tessellation and tiling problems (05B45) Tilings in (2) dimensions (aspects of discrete geometry) (52C20)
Related Items (10)
Tiling enumeration of hexagons with off-central holes ⋮ A \(q\)-enumeration of lozenge tilings of a hexagon with four adjacent triangles removed from the boundary ⋮ The determinant of an elliptic sylvesteresque matrix ⋮ Determinantal elliptic Selberg integrals ⋮ Binomial determinants for tiling problems yield to the holonomic ansatz ⋮ Cyclically symmetric lozenge tilings of a hexagon with four holes ⋮ Lozenge tilings of hexagons with central holes and dents ⋮ Lozenge tilings of hexagons with holes on three crossing lines ⋮ Bounded Littlewood identities ⋮ Lozenge tilings of a hexagon with a horizontal intrusion
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