We are studying the fundamental tools for a quantum calculus based on the Tsallis q-exponential In particular we are looking at q-Fock spaces, structural identities, as well as rational functions in this context.
@article{arxiv.2505.14922,
title = {Tsallis' q-analysis, new scales of interpolating spaces and q-rational functions},
author = {Daniel Alpay and Paula Cerejeiras and Uwe Kaehler},
journal= {arXiv preprint arXiv:2505.14922},
year = {2025}
}