On sequences preserving \(q\)-Gevrey asymptotic expansions (Q6200405)

scientific article; zbMATH DE number 7822752

Language	Label	Description	Also known as
English	On sequences preserving \(q\)-Gevrey asymptotic expansions	scientific article; zbMATH DE number 7822752

Statements

instance of

scholarly article

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title

On sequences preserving \(q\)-Gevrey asymptotic expansions (English)

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arXiv ID

2304.09294

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DOI

10.1007/s13324-024-00874-6

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author

Alberto Lastra Sedano

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Sławomir Michalik

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published in

Analysis and Mathematical Physics

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publication date

22 March 2024

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full work available at URL

https://arxiv.org/abs/2304.09294

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Mathematics Subject Classification ID

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formal power series

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\(q\)-Gevrey asymptotics

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MaRDI profile type

MaRDI publication profile

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cites work

Formal power series and linear systems of meromorphic ordinary differential equations

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Gevrey Order of Formal Power Series Solutions of Inhomogeneous Partial Differential Equations with Constant Coefficients

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On \(q\)-summation and confluence

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Q4818970

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Building Meromorphic Solutions ofq-Difference Equations Using a Borel–Laplace Summation

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q-Borel-Laplace summation for q–difference equations with two slopes

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On the multiple-scale analysis for some linear partial \(q\)-difference and differential equations with holomorphic coefficients

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A Comprehensive Treatment of q-Calculus

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Q4828543

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Multisummability in Carleman ultraholomorphic classes by means of nonzero proximate orders

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On \(q\)-Gevrey asymptotics for singularly perturbed \(q\)-difference-differential problems with an irregular singularity

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On parametric multilevel \(q\)-Gevrey asymptotics for some linear \(q\)-difference-differential equations

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On multiscale Gevrey and Gevrey asymptotics for some linear difference differential initial value Cauchy problems

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On \(q\)-asymptotics for linear \(q\)-difference-differential equations with Fuchsian and irregular singularities

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Strongly regular multi-level solutions of singularly perturbed linear partial differential equations

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Summability of formal solutions for some generalized moment partial differential equations

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Estimates of formal solutions for some generalized moment partial differential equations

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Summability of formal solutions for a family of generalized moment integro-differential equations

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Multisummability of formal solutions for a family of generalized singularly perturbed moment differential equations

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Divergent series, summability and resurgence II. Simple and multiple summability

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On Parametric Gevrey Asymptotics for a q-Analog of Some Linear Initial Value Problem

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On a partial \(q\)-analog of a singularly perturbed problem with Fuchsian and irregular time singularities

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Asymptotics and confluence for some linear \(q\)-difference-differential Cauchy problem

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Multisummability of formal power series solutions of linear analytic \(q\)-difference equations.

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Local analytic classification of q-difference equations

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Asymptotic expansion and summability of solutions of linear \(q\)-difference equations.

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Quantum \(K\)-theory and \(q\)-difference equations

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Asymptotic Analysis and Summability of Formal Power Series

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q-Analogues of Laplace and Borel transforms by means of q-exponentials

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On the Summability of Formal Solutions of Some Linear q-Difference-Differential Equations

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q-analogue of summability of formal solutions of some linear q-difference-differential equations

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Division by flat ultradifferentiable functions and sectorial extensions

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Transformations de q-Borel–Laplace au moyen de la fonction thêta de Jacobi

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On Jackson's \(q\)-gamma function

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Sitelinks

Mathematics(1 entry)

mardi Publication:6200405