Moments of Askey-Wilson polynomials

DOI10.1016/j.jcta.2014.02.008zbMath1295.05034arXiv1207.3446OpenAlexW2964260527MaRDI QIDQ2451896

Jang Soo Kim, Dennis W. Stanton

Publication date: 26 May 2014

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.3446

zbMATH Keywords

matchingsMotzkin pathsAskey-Wilson polynomialsmoments of orthogonal polynomialsstaircase tableaux

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial aspects of representation theory (05E10) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (5)

Asymmetric simple exclusion process with open boundaries and quadratic harnesses ⋮ Bootstrapping and Askey-Wilson polynomials ⋮ Moments of orthogonal polynomials and exponential generating functions ⋮ Nonterminating transformations and summations associated with some \(q\)-Mellin-Barnes integrals ⋮ Computation of Al-Salam Carlitz and Askey-Wilson moments using Motzkin paths

Cites Work

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• Erratum to ``Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials
• The structure of alternative tableaux
• Rook placements in Young diagrams and permutation enumeration
• A curious \(q\)-analogue of Hermite polynomials
• Combinatorics of the three-parameter PASEP partition function
• Crossings, Motzkin paths and moments
• Connection relations and expansions
• Enumeration of totally positive Grassmann cells
• A \(q\)-enumeration of alternating permutations
• A \(q\)-Foata proof of the \(q\)-Saalschütz identity
• The combinatorics of q-Hermite polynomials and the Askey-Wilson integral
• Some \(q\)-analogues of the Schröder numbers arising from combinatorial statistics on lattice paths
• On combinatorics of Al-Salam Carlitz polynomials
• \(q\)-Taylor theorems, polynomial expansions, and interpolation of entire functions.
• Enumeration formulas for generalized \(q\)-Euler numbers
• A bijective proof of a Touchard-Riordan formula
• On some properties of permutation tableaux
• Formulae for Askey-Wilson moments and enumeration of staircase tableaux
• Matrix Ansatz, lattice paths and rook placements
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Sur Un Problème De Configurations Et Sur Les Fractions Continues

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