Umbral nature of the Poisson random variables

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dc.creatorDi Nardo, E.
dc.creatorSenato, D.
dc.date2004-12-02
dc.date.accessioned2026-07-07T05:14:54Z
dc.date.available2026-07-07T05:14:54Z
dc.descriptionExtending the rigorous presentation of the classical umbral calculus given by Rota and Taylor in 1994, the so-called partition polynomials are interpreted with the aim to point out the umbral nature of the Poisson random variables. Among the new umbrae introduced, the main tool is the partition umbra that leads also to a simple expression of the functional composition of the exponential power series. Moreover a new short proof of the Lagrange inversion formula is given.
dc.description23 pages
dc.identifierhttps://arxiv.org/abs/math/0412054
dc.identifierhttp://arxiv.org/abs/math/0412054
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73463
dc.subjectProbability
dc.subjectCombinatorics
dc.subject05A40, 60C05 (Primary)
dc.titleUmbral nature of the Poisson random variables
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