scientific article; zbMATH DE number 2102911
From MaRDI portal
Publication:4818970
zbMath1063.39015MaRDI QIDQ4818970
Changgui Zhang, Lucia Di Vizio, Jacques Sauloy, Jean Pierre Ramis
Publication date: 24 September 2004
Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.
classificationmonodromyhistorical surveyalgebraic number fields\(q\)-difference equationsresearch surveyRiemann-Hilbert correspondenceresolution\(p\)-adic fieldsanalytical theoryGrothendieck-Katz conjectureglobal algebraic theorylocal algebraic theory
History of mathematics in the 20th century (01A60) Difference equations, scaling ((q)-differences) (39A13) History of mathematics in the 19th century (01A55) History of difference and functional equations (39-03)
Related Items (31)
Second order linear q-difference equations: Nonoscillation and asymptotics ⋮ An asymptotic analysis of nonoscillatory solutions of \(q\)-difference equations via \(q\)-regular variation ⋮ The canonical filtration by the slopes of a \(q\)-difference module and the associated graded module. ⋮ A modular-type formula for \((x;q)_\infty \) ⋮ Hiroshi Umemura and French mathematics ⋮ Geometry of the analytic loop group ⋮ Intrinsic Approach to Galois Theory of 𝑞-Difference Equations ⋮ Fast computation of the \(N\)-th term of a \(q\)-holonomic sequence and applications ⋮ The classical Artin approximation theorems ⋮ On complex singularity analysis for linear \(q\)-difference-differential equations ⋮ On complex singularity analysis for linear partial \(q\)-difference-differential equations using nonlinear differential equations ⋮ On \(q\)-Gevrey asymptotics for singularly perturbed \(q\)-difference-differential problems with an irregular singularity ⋮ On \(q\)-asymptotics for linear \(q\)-difference-differential equations with Fuchsian and irregular singularities ⋮ On sequences preserving \(q\)-Gevrey asymptotic expansions ⋮ Optimal flat functions in Carleman-Roumieu ultraholomorphic classes in sectors ⋮ An ultrametric version of the Maillet-Malgrange theorem for nonlinear $q$-difference equations ⋮ On the modular behaviour of the infinite product \((1-x)(1-xq)(1-xq^2)(1-xq^3)\dots\) ⋮ The variety of analytical classes of \(q\)-difference equations within a formal class ⋮ Twisted calculus ⋮ Elliptic stable envelopes ⋮ \(q\)-deformation of meromorphic solutions of linear differential equations ⋮ On functional linear partial differential equations in Gevrey spaces of holomorphic functions ⋮ On parametric multilevel \(q\)-Gevrey asymptotics for some linear \(q\)-difference-differential equations ⋮ Multivariate linear recurrences and power series division ⋮ The power series \(1+\frac z{\Gamma(1+i)}+\frac{z^2}{\Gamma (1+2i)}+\frac{z^3}{\Gamma(1+3i)}+\cdots\) has a natural boundary! ⋮ On singularly perturbed \(q\)-difference-differential equations with irregular singularity ⋮ Galois theories of \(q\)-difference equations: comparison theorems ⋮ On \(q\)-functional equations and excursion moments ⋮ Confluence of meromorphic solutions of \(q\)-difference equations ⋮ On parametric Gevrey asymptotics for singularly perturbed partial differential equations with delays ⋮ Limit Distributions and Scaling Functions
This page was built for publication: