Computation of Al-Salam Carlitz and Askey-Wilson moments using Motzkin paths

DOI10.37236/9780zbMath1467.05009OpenAlexW3177624604MaRDI QIDQ2039996

Gaspard Ohlmann

Publication date: 6 July 2021

Published in: The Electronic Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.37236/9780

zbMATH Keywords

Askey-Wilson polynomialsAl-Salam-Carlitz polynomials

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Orthogonal polynomials and functions in several variables expressible in terms of basic hypergeometric functions in one variable (33D50)

Related Items (2)

Nonlinear waves and dispersive equations. Abstracts from the workshop held June 26 -- July 2, 2022 ⋮ Two \(q\)-operational equations and Hahn polynomials

Cites Work

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• Erratum to ``Tableaux combinatorics for the asymmetric exclusion process and Askey-Wilson polynomials
• Bootstrapping and Askey-Wilson polynomials
• Crossings, Motzkin paths and moments
• The combinatorics of q-Hermite polynomials and the Askey-Wilson integral
• On combinatorics of Al-Salam Carlitz polynomials
• \(q\)-Taylor theorems, polynomial expansions, and interpolation of entire functions.
• A bijective proof of a Touchard-Riordan formula
• Moments of Askey-Wilson polynomials
• Formulae for Askey-Wilson moments and enumeration of staircase tableaux
• Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials
• Some Orthogonal q‐Polynomials

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