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We have decided to discontinue the publication of preprints on our preprint server as of 1 March 2024. The publication culture within mathematics has changed so much due to the rise of repositories such as ArXiV (www.arxiv.org) that we are encouraging all institute members to make their preprints available there. An institute's repository in its previous form is, therefore, unnecessary. The preprints published to date will remain available here, but we will not add any new preprints here.

MiS Preprint
33/2001

Construction of the generalised q-derivative operators

Dayanand Parashar and Deepak Parashar

Abstract

This investigation pertains to the construction of a class of generalised deformed derivative operators which furnish the familiar finite difference and the q-derivatives as special cases. The procedure involves the introduction of a linear operator which is multiplicative over functions of a real variable. The validity of the general prescriptions is ascertained by considering suitable examples of such derivatives and constructing their eigenfunctions explicitly. The relationship of a particular version of the operator with the one-dimensional Möbius transformation is also established.

Received:
Jul 12, 2001
Published:
Jul 12, 2001

Related publications

inJournal
2003 Repository Open Access
Dayanand Parashar and Deepak Parashar

Construction of the generalised q-derivative operators

In: Journal of geometry and physics, 48 (2003) 2-3, pp. 297-308