# Discrete q-derivatives and symmetries of q-difference equations

@article{Levi2003DiscreteQA,
title={Discrete q-derivatives and symmetries of q-difference equations},
author={Decio Levi and J. Negro and Mariano A. del Olmo},
journal={Journal of Physics A},
year={2003},
volume={37},
pages={3459-3473}
}
• Published 2003
• Mathematics, Physics
• Journal of Physics A
In this paper we extend the umbral calculus, developed to deal with difference equations on uniform lattices, to q-difference equations. We show that many properties considered for shift invariant difference operators satisfying the umbral calculus can be implemented to the case of the q-difference operators. This q-umbral calculus can be used to provide solutions to linear q-difference equations and q-differential delay equations. To illustrate the method, we will apply the obtained results to… Expand
17 Citations

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