Generalised differences and their applications
type: Item
instance of: scholarly article
title: Generalised differences and their applications
zbMATH Open document ID: 0593.33009
author: B. P. Parashar
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 1985-01-01T00:00:00Z
review text: In this paper a generalized difference operator \(A^{\lambda}_{\mu,h}\) of order \(\lambda\) and step \(h>0\), where \(\lambda\) and \(\mu\) are arbitrary real numbers, is defined in such a way that the forward, and central difference operators become its particular cases. A Leibniz formula for the operator is given and illustrated with its help certain known results. The operator also leads to a fractional derivatives of powers. This derivatives of powers is compared with some other known fractional derivatives.
Mathematics Subject Classification ID: 33C60
zbMATH DE Number: 3953251
zbMATH Keywords: Leibniz formula
zbMATH Keywords: fractional derivatives
reviewed by: Som Prakash Goyal
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 3953251