Développements asymptotiques \(q\)-Gevrey et séries \(Gq\)-sommables. (\(q\)-Gevrey asymptotic expansions and \(Gq\)-summable series.)
type: Item
instance of: scholarly article
title: Développements asymptotiques \(q\)-Gevrey et séries \(Gq\)-sommables. (\(q\)-Gevrey asymptotic expansions and \(Gq\)-summable series.)
zbMATH Open document ID: 0974.39009
author: Changgui Zhang
publication date: 1999-05-16T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75334
Mathematics Subject Classification ID: 39A13
Mathematics Subject Classification ID: 30D05
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 39B22
Mathematics Subject Classification ID: 40G99
zbMATH DE Number: 1287519
zbMATH Keywords: asymptotic expansion
zbMATH Keywords: \(q\)-difference equation
zbMATH Keywords: summability
zbMATH Keywords: \(q\)-Borel transformation
zbMATH Keywords: \(q\)-Laplace transformation
zbMATH Keywords: Stokes phenomenon
zbMATH Keywords: Gevrey estimates
MaRDI profile type: Publication
OpenAlex ID: W2320521168
cites work: Q4009102
cites work: On \(q\)- difference functional equations
cites work: The Conformal Theory of Curves
cites work: Summability of divergent series
cites work: Multisummability of formal power series solutions of linear analytic \(q\)-difference equations.
cites work: Q3984196
cites work: Q4649619
cites work: About the growth of entire functions solutions of linear algebraic \(q\)- difference equations
cites work: Q4836482
cites work: AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
cites work: Singularités quasi-ordinaires toriques et polyèdre de Newton du discriminant
cites work: A \(q\)-analog of Newton's series, Stirling functions and Eulerian functions
DOI: 10.5802/AIF.1672
published in: Annales de l’institut Fourier
Recommended article: Développements asymptotiques et microfonctions dans les classes de Gevrey. (Asymptotic developments and microfunctions in Gevrey classes)
Recommended article: On the $q$-partial differential equations and $q$-series
Recommended article: On the \(q\)-derivative and \(q\)-series expansions
Recommended article: Some Asymptotic Formulae for q -Hypergeometric Series
Recommended article: \(q\)-Gevrey asymptotic expansion and Jacobi theta function.
Recommended article: Asymptotic expansions of Lambert series and related q-series
Recommended article: Q3203849
Recommended article: Q3762798
description: scientific article; zbMATH DE number 1287519