Isomonodromic deformation of 𝑞-difference equations and confluence (Q3181322)

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Language	Label	Description	Also known as
English	Isomonodromic deformation of 𝑞-difference equations and confluence	scientific article

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scholarly article

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Isomonodromic deformation of 𝑞-difference equations and confluence (English)

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Proceedings of the American Mathematical Society

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publication date

29 December 2016

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full work available at URL

https://arxiv.org/abs/1502.04597

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zbMATH Keywords

\(q\)-difference equations

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isomonodromic deformation

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Painlevé equations

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confluence

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MaRDI profile type

MaRDI publication profile

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On \(q\)- difference functional equations

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Isomonodromy transformations of linear systems of difference equations

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<i>q</i>-Borel-Laplace summation for <i>q</i>–difference equations with two slopes

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Familles fuchsiennes d’équations aux ($q$-)différences et confluence

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Building Meromorphic Solutions of<i>q</i>-Difference Equations Using a Borel–Laplace Summation

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On integral representations of \(q\)-gamma and \(q\)-beta functions

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Arithmetic theory of \(q\)-difference equations. The \(q\)-analogue of Grothendieck-Katz's conjecture on \(p\)-curvatures

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Linearization and solutions of the discrete Painlevé III equation

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A \(q\)-analog of the sixth Painlevé equation

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On a q-Difference Painlevé III Equation: I. Derivation, Symmetry and Riccati Type Solutions

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

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On Discrete Painlevé Equations Associated with the Lattice KdV Systems and the Painlevé VI Equation

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About the growth of entire functions solutions of linear algebraic \(q\)- difference equations

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Discrete versions of the Painlevé equations

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Generalized basic hypergeometric equations

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The $q$-analogue of the wild fundamental group and the inverse problem of the Galois theory of $q$-difference equations

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Local analytic classification of q-difference equations

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\(q\)-Gevrey asymptotic expansion and Jacobi theta function.

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Rational surfaces associated with affine root systems and geometry of the Painlevé equations

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Systèmes aux \(q\)-différences singuliers réguliers : classification, matrice de connexion et monodromie. (Regular singular \(q\)-difference systems: Classification, connection matrix and monodromy)

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Analytic theory of linear \(q\)-difference equations

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Galois theory of \(q\)-difference equations

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1090/PROC/13173

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Sitelinks

Mathematics(1 entry)

mardi Publication:3181322

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