Moments of orthogonal polynomials and combinatorics

DOI10.1007/978-3-319-24298-9_22zbMath1356.33006OpenAlexW2472459220MaRDI QIDQ2957194

Jang Soo Kim, Sylvie Corteel, Dennis W. Stanton

Publication date: 25 January 2017

Published in: Recent Trends in Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-24298-9_22

zbMATH Keywords

momentsorthogonal polynomialsMotzkin pathslinearization coefficientsstaircase tableauxAskey Wilson polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45)

Related Items (8)

Negative moments of orthogonal polynomials ⋮ An involution on restricted Laguerre histories and its applications ⋮ Moments of orthogonal polynomials and exponential generating functions ⋮ Two-dimensional contiguous relations for the linearization coefficients of classical orthogonal polynomials ⋮ On linearization coefficients of \(q\)-Laguerre polynomials ⋮ On linearization coefficients of \(q\)-Laguerre polynomials ⋮ Lecture hall tableaux ⋮ Statistics of partial permutations via Catalan matrices

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