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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Acknowledgements
The authors express their gratitude to the anonymous referee for the careful reading of the work, and all the valuable suggestions made which helped to improve the paper significantly. The first author is partially supported by the project PID2019-105621GB-I00 of Ministerio de Ciencia e Innovación, Spain and by Dirección General de Investigación e Innovación; and by Dirección General de Investigación e Innovación, Consejería de Educación e Investigación of Comunidad de Madrid, Universidad de Alcalá under grant CM/JIN/2021-014; and by Ministerio de Ciencia e Innovación-Agencia Estatal de Investigación MCIN/AEI/10.13039/501100011033 and the European Union “NextGenerationEU”/ PRTR, under grant TED2021-129813A-I00.
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Lastra, A., Michalik, S. On sequences preserving q-Gevrey asymptotic expansions. Anal.Math.Phys. 14, 17 (2024). https://doi.org/10.1007/s13324-024-00874-6
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DOI: https://doi.org/10.1007/s13324-024-00874-6