On \(q\)- difference functional equations
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Publication:1198189
DOI10.1007/BF01835698zbMath0757.39002MaRDI QIDQ1198189
Publication date: 16 January 1993
Published in: Aequationes Mathematicae (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/137459
Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable (30D05) Iteration theory, iterative and composite equations (39B12) Functional equations for complex functions (39B32)
Related Items (28)
On some arithmetic properties of Mahler functions ⋮ The canonical filtration by the slopes of a \(q\)-difference module and the associated graded module. ⋮ On the convergence of generalized power series solutions of \(q\)-difference equations ⋮ Isomonodromic deformation of 𝑞-difference equations and confluence ⋮ Fast computation of the \(N\)-th term of a \(q\)-holonomic sequence and applications ⋮ Existence of analytic solutions to analytic nonlinear \(q\)-difference equations ⋮ Power series solutions of non-linear \(q\)-difference equations and the Newton-Puiseux polygon ⋮ On complex singularity analysis for linear \(q\)-difference-differential equations ⋮ On the growth of solutions of difference equations in ultrametric fields ⋮ Optimal flat functions in Carleman-Roumieu ultraholomorphic classes in sectors ⋮ An ultrametric version of the Maillet-Malgrange theorem for nonlinear $q$-difference equations ⋮ Formal theory for differential-difference operators ⋮ The variety of analytical classes of \(q\)-difference equations within a formal class ⋮ \(q\)-deformation of meromorphic solutions of linear differential equations ⋮ On functional linear partial differential equations in Gevrey spaces of holomorphic functions ⋮ Spectral analysis of \(q\)-difference equations with spectral singularities ⋮ Analytic Solutions of aq-Difference Equation and Applications to Iterative Equations* ⋮ Local analytic classification of \(q\)-difference equations with \(|q| = 1\) ⋮ Cauchy functions for dynamic equations on a measure chain ⋮ On \(q\)-summation and confluence ⋮ Confluence of meromorphic solutions of \(q\)-difference equations ⋮ Systèmes aux \(q\)-différences singuliers réguliers : classification, matrice de connexion et monodromie. (Regular singular \(q\)-difference systems: Classification, connection matrix and monodromy) ⋮ Développements asymptotiques \(q\)-Gevrey et séries \(Gq\)-sommables. (\(q\)-Gevrey asymptotic expansions and \(Gq\)-summable series.) ⋮ The canonical slope filtration of a \(q\)-difference module ⋮ Dynamic equations on time scales: A survey ⋮ Oscillation criteria for second-order matrix dynamic equations on a time scale ⋮ On the algebraic and analytic 𝑞-De Rham complexes attached to 𝑞-difference equations ⋮ On the archimedean and nonarchimedean 𝑞-Gevrey orders
Cites Work
- Sur les points singuliers des équations différentielles
- Analytic theory of linear \(q\)-difference equations
- On the existence and uniqueness of analytic solutions of a linear functional equation
- Iteration of analytic functions
- Note on a Canonical Form for the Linear q-Difference System
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