Negative moments of orthogonal polynomials

DOI10.1017/fms.2023.23OpenAlexW4361802752MaRDI QIDQ5887142

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Publication date: 17 April 2023

Published in: Forum of Mathematics, Sigma (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.11344

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)

Uses Software

• MathOverflow

Cites Work

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• Combinatorial aspects of continued fractions
• Inversion of a tridiagonal Jacobi matrix
• Proof of a conjecture of Morales-Pak-Panova on reverse plane partitions
• A combinatorial representation with Schröder paths of biorthogonality of Laurent biorthogonal polynomials
• Laurent biorthogonal polynomials, \( q\)-Narayana polynomials and domino tilings of the Aztec diamonds
• Moments of orthogonal polynomials and combinatorics
• Combinatorial Reciprocity Theorems
• Hook Formulas for Skew Shapes II. Combinatorial Proofs and Enumerative Applications
• On the Vector Representations of Induced Matroids
• Combinatorial reciprocity theorems
• Reverse plane partitions of skew staircase shapes and \(q\)-Euler numbers

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