forward \((\alpha,\beta)\)-difference operator
Forward \((\alpha,\beta)\)-difference operator and some applications in number theory
The theory of the forward difference operator \(\Delta_h\) is extended to the forward \((\alpha,\beta)\)-difference operator \(\Delta_{(\alpha,\beta)h}\), and the discrete version of the Leibniz theorem and binomial theorem with reference to \(\Delta_{(\alpha,\beta)h}\) is presented. Six examples illustrating the results are given.
scientific article; zbMATH DE number 6077364