A linear operator approach to succession rules Original Research Article

We give an algebraic version of the enumeration of combinatorial objects (ECO) method, and of succession rules in general, by means of linear operators. Then, using the new algebraic notations, we translate some known results about the relationship between ECO-systems and generating functions into our language. Finally, we deal with the problem of the standard form for succession rules, giving a general, though purely theoretical, solution, that is more precisely, a “compact expression” for the desired standard form.