Cumulants, lattice paths, and orthogonal polynomials

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dc.creatorLehner, Franz
dc.date2001-10-02
dc.date2002-07-03
dc.date.accessioned2026-07-07T04:43:37Z
dc.date.available2026-07-07T04:43:37Z
dc.descriptionA formula expressing free cumulants in terms of the Jacobi parameters of the corresponding orthogonal polynomials is derived. It combines Flajolet's theory of continued fractions and Lagrange inversion. For the converse we discuss Gessel-Viennot theory to express Hankel determinants in terms of various cumulants.
dc.description11 pages, AMS LaTeX, uses pstricks; revised according to referee's suggestions, in particular cut down last section and corrected some wrong attributions
dc.identifierhttps://arxiv.org/abs/math/0110031
dc.identifierhttp://arxiv.org/abs/math/0110031
dc.identifierDiscrete Math. 270 (2003), no. 1-3, 177--191
dc.identifierdoi:10.1016/S0012-365X(02)00834-8
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62305
dc.subjectCombinatorics
dc.subject05A15, 46L54; 11A55, 05E35
dc.titleCumulants, lattice paths, and orthogonal polynomials
dc.typetext

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