arXiv subjects
Publications and source records attributed to Ewa Krot.
The characterization of fibonacci cobweb poset as d.a.g. and o.d.a.g. is given. The dim 2 poset such that its hasse diagram coincide with digraf of fibonacci cobweb poset is constructed.
This is an indicatory presentation of main definitions and theorems of fibonomial calculus which is a special case of psi-extented rota's finite operator calculus.
The explicite formulas for möbiusien function and some other important elements of the incidence algebra are delivered. For that to do one uses kwaśniewski's construction of his fibonacci cobweb poset in the plane grid coordinate system.
Primary definitions, notation and general observations of finite fibonomial operator calculus (ffoc) are presented. Kwasniewski's combinatorial interpretation of fibonomial coefficients by the use of fibonacci cobweb poset is given. Some elements of incidence algebra of fibonacci cobweb poset are defined.
The explicit formula for mobiusien function of fibonacci cobweb poset P is given for the first time by the use of definition of P in plane grid coordinate system.