Crossings and embracings of set-partitions and \(q\)-analogues of the logarithm of the Fourier transform

DOI10.1016/S0012-365X(96)83020-2zbMath0878.05009OpenAlexW2061312072MaRDI QIDQ1924373

Alexandru Nica

Publication date: 5 January 1998

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(96)83020-2

zbMATH Keywords

partitionHermite polynomialsexponential formula\(q\)-analoguelogarithm of the Fourier transform

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Combinatorial aspects of partitions of integers (05A17) Fourier and Fourier-Stieltjes transforms and other transforms of Fourier type (42B10) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Combinatorial probability (60C05)

Related Items

Fock space associated with quadrabasic Hermite orthogonal polynomials, Cumulants, lattice paths, and orthogonal polynomials, CUMULANTS IN NONCOMMUTATIVE PROBABILITY THEORY III: CREATION AND ANNIHILATION OPERATORS ON FOCK SPACES, The \((q, t)\)-Gaussian process

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