An Operational Calculus Model with the (m,n) - Symmetric Difference

Abstract

Abstract The paper determines a non-classical Bittner operational calculus model, in which the derivative is understood as an -symmetric difference Dm,n {x (k)} := {x (k+m)− x (k− n). By considering an operation Dm,n,b {x (k)} := {x (k+m)− b (k)x (k− n), the formulated model has been generalized.