Some multivariate master polynomials for permutations, set partitions, and perfect matchings, and their continued fractions
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Publication:2133993
DOI10.1016/j.aam.2022.102341zbMath1487.05032arXiv2003.08192OpenAlexW3011832578MaRDI QIDQ2133993
Publication date: 5 May 2022
Published in: Advances in Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.08192
permutationDyck pathcontinued fractionperfect matchingset partitiongenerating polynomialMotzkin pathS-fractionJ-fraction
Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) (q)-calculus and related topics (05A30) Permutations, words, matrices (05A05) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Continued fractions (11A55) Basic orthogonal polynomials and functions (Askey-Wilson polynomials, etc.) (33D45) Continued fractions; complex-analytic aspects (30B70)
Related Items (8)
Matrix addition and the Dunkl transform at high temperature ⋮ Counting derangements with signed right-to-left minima and excedances ⋮ Lattice Paths and Branched Continued Fractions: An Infinite Sequence of Generalizations of the Stieltjes–Rogers and Thron–Rogers Polynomials, with Coefficientwise Hankel-Total Positivity ⋮ An involution on restricted Laguerre histories and its applications ⋮ Equidistributions of mesh patterns of length two ⋮ Fock space associated with quadrabasic Hermite orthogonal polynomials ⋮ Equidistributions around special kinds of descents and excedances via continued fractions ⋮ A simple algorithm for expanding a power series as a continued fraction
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