A symmetric quantum calculus
Classical Analysis and ODEs
2013-09-24 v1
Abstract
We introduce the -symmetric difference derivative and the -symmetric N\"orlund sum. The associated symmetric quantum calculus is developed, which can be seen as a generalization of the forward and backward -calculus.
Cite
@article{arxiv.1112.6133,
title = {A symmetric quantum calculus},
author = {Artur M. C. Brito da Cruz and Natalia Martins and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:1112.6133},
year = {2013}
}
Comments
Submitted 26/Sept/2011; accepted in revised form 28/Dec/2011; to Proceedings of International Conference on Differential & Difference Equations and Applications, in honour of Professor Ravi P. Agarwal, to be published by Springer in the series Proceedings in Mathematics (PROM)