Construction of the generalised q-derivative operators
Quantum Algebra
2009-11-10 v1 Mathematical Physics
math.MP
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 Mobius transformation is also established.
Cite
@article{arxiv.math/0311022,
title = {Construction of the generalised q-derivative operators},
author = {Dayanand Parashar and Deepak Parashar},
journal= {arXiv preprint arXiv:math/0311022},
year = {2009}
}
Comments
11 pages, LaTeX, published in JGP