Forward \((\alpha,\beta)\)-difference operator and some applications in number theory
type: Item
instance of: scholarly article
zbMATH Open document ID: 1261.39024
publication date: 2012-09-05T00:00:00Z
Mathematics Subject Classification ID: 39A70
Mathematics Subject Classification ID: 39A12
zbMATH DE Number: 6077364
zbMATH Keywords: forward \((\alpha,\beta)\)-difference operator
zbMATH Keywords: arithmetic-double geometric series
MaRDI profile type: Publication
author: G. Britto Antony Xavier
author: P. Rajiniganth
author: M. Maria Susai Manuel
author: V. Chandrasekar
title: Forward \((\alpha,\beta)\)-difference operator and some applications in number theory
published in: International Journal of Applied Mathematics
review text: 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.
reviewed by: Ioannis P. Stavroulakis
description: scientific article; zbMATH DE number 6077364