On sequences preserving q-Gevrey asymptotic expansions

2023/04/18 by Alberto Lastra, Lastra, Alberto, Sławomir Michalik +1 · 1 citation
Mathematics · #Mathematical Analysis and Transform Methods #Approximation Theory and Sequence Spaces #Mathematical functions and polynomials

paper · pdf · doi:10.48550/arxiv.2304.09294

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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• Dunkl derivative from moment differentiation

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