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On sequences preserving q-Gevrey asymptotic expansions

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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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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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Authors and Affiliations

  1. Departamento de Física y Matemáticas, Alcalá de Henares, Universidad de Alcalá, Madrid, Spain

    Alberto Lastra

  2. Faculty of Mathematics and Natural Sciences, College of Science, Cardinal Stefan Wyszyński University, Warsaw, Poland

    Sławomir Michalik

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  1. Alberto Lastra
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All authors (A.L. and S.M.) wrote and reviewed the manuscript.

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Correspondence to Sławomir Michalik.

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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

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