Riordan array approach to Lagrange inversion formulas and Chung-Feller theory

DOI10.1016/j.aam.2022.102454zbMath1505.05014OpenAlexW4308428946MaRDI QIDQ2111196

Yanyan Li

Publication date: 28 December 2022

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aam.2022.102454

zbMATH Keywords

Lagrange inversion formulaCatalan numbersRiordan arrayRiordan group\(A\)-sequenceChung-Feller theoryDelannoy matrixFuss-Catalan matrix

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Permutations, words, matrices (05A05) Special sequences and polynomials (11B83) Matrices of integers (15B36) Linear equations (linear algebraic aspects) (15A06)

Related Items (3)

The halves of Delannoy matrix and Chung-Feller properties of the \(m\)-Schröder paths ⋮ Some \(\gamma \)-positive polynomials arising from enumerations of the pseudo Schröder paths ⋮ The Vertical Recursive Relation of Riordan Arrays and Their Matrix Representation

Uses Software

• OEIS

Cites Work

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