Confluent general-factorial difference and derivative operators and polynomial-exponential interpolation

AbstractA previous application of the Newton divided difference series of the displacement function Ez = (1 + Δ)z = e Dz, where the operators Δ and D are the variables, to purely exponential interpolation employing general-factorial differences and derivatives, {Pi;mi=0 (Δ - Si)}f(0) and {Pi;mi=0 (D - ti)}f(0), in which the si's and ti's are distinct[1], is here extended to mixed polynomial-exponential interpolation where the si's and ti's are no longer distinct