On sequences preserving q-Gevrey asymptotic expansions
Complex Variables
2023-04-20 v1 Analysis of PDEs
Functional Analysis
Abstract
The modification of the coefficients of formal power series is analyzed in order that such variation preserves q-Gevrey asymptotic properties, in particular q-Gevrey asymptotic expansions. A characterization of such sequences is determined, providing a handy tool in practice. The sequence of q-factorials is proved to preserve q-Gevrey asymptotic expansions.
Keywords
Cite
@article{arxiv.2304.09294,
title = {On sequences preserving q-Gevrey asymptotic expansions},
author = {Alberto Lastra and Sławomir Michalik},
journal= {arXiv preprint arXiv:2304.09294},
year = {2023}
}