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arXiv · 2304.09294

On sequences preserving q-Gevrey asymptotic expansions

Alberto Lastra·Sławomir Michalik
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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.

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Alberto Lastra, Sławomir Michalik. 2023-04-18. On sequences preserving q-Gevrey asymptotic expansions. https://arxiv.org/abs/2304.09294

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