An example of algebraization of analysis and Fibonacci cobweb poset characterization

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dc.creatorKrot-Sieniawska, Ewa
dc.date2007-11-03
dc.date.accessioned2026-07-07T09:19:23Z
dc.date.available2026-07-07T09:19:23Z
dc.descriptionIn recent Kwasniewski's papers inspired by O. V. Viskov it was shown that the $ψ$-calculus in parts appears to be almost automatic, natural extension of classical operator calculus of Rota - Mullin or equivalently - of umbral calculus of Roman and Rota. At the same time this calculus is an example of the algebraization of the analysis - here restricted to the algebra of polynomials. The first part of the article is the review of the recent author's contribution. The main definitions and theorems of Finite Fibonomial Operator Calculus which is a special case of $ψ$-extented Rota's finite operator calculus are presented there. In the second part the characterization of Fibonacci Cobweb poset P as DAG and oDAG is given. The dim 2 poset such that its Hasse diagram coincide with digraf of P is constructed.
dc.description16 pages, submitted to publication
dc.identifierhttps://arxiv.org/abs/0711.0436
dc.identifierhttp://arxiv.org/abs/0711.0436
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/154370
dc.subjectCombinatorics
dc.subjectDiscrete Mathematics
dc.subjectGeneral Mathematics
dc.subject05A40, 05C20, 06A11, 11B39, 11C08
dc.titleAn example of algebraization of analysis and Fibonacci cobweb poset characterization
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