On the positive powers of 𝑞-analogs of Euler series

DOI10.1090/conm/782/15727OpenAlexW4320488018MaRDI QIDQ5886537

Changgui Zhang

Publication date: 5 April 2023

Published in: Recent Trends in Formal and Analytic Solutions of Diff. Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2107.03536

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Abel, Borel and power series methods (40G10) Asymptotic representations in the complex plane (30E15)

Cites Work

• On \(q\)-summation and confluence
• Développements asymptotiques \(q\)-Gevrey et séries \(Gq\)-sommables. (\(q\)-Gevrey asymptotic expansions and \(Gq\)-summable series.)
• Multisummability of formal power series solutions of linear analytic \(q\)-difference equations.
• Summability of divergent series
• Formal power series and linear systems of meromorphic ordinary differential equations
• On classical irregular q-difference equations
• Local analytic classification of q-difference equations
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