A Generalization of Difference Models of the Bittner Operational Calculus

In the paper, there has been constructed a discrete model of the non-classical Bittner operational calculus with a derivative understood as the operation S_b{x(k)} := {x(k+n) − b(k)x(k)}, which is a generalization of the n^th-order forward difference. It has also been pointed out that there is a possibility to generalize operational calculus models with backward and central differences of higher orders.