On \(p\)-adic functional equations in \(q\)-differences

zbMath0778.39009MaRDI QIDQ685925

Jean-Paul Bézivin, Abdelbaki Boutabaa

Publication date: 18 October 1993

Published in: Collectanea Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/39451

zbMATH Keywords

formal power seriesformal solutions\(q\)-difference-equations iterations

Mathematics Subject Classification ID

Additive difference equations (39A10) Functional equations for functions with more general domains and/or ranges (39B52) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (14)

On some arithmetic properties of Mahler functions ⋮ Small divisor problem in dynamical systems and analytic solutions of a \(q\)-difference equation with a singularity at the origin ⋮ On the structure of certain \(\Gamma\)-difference modules ⋮ Power series solutions of non-linear \(q\)-difference equations and the Newton-Puiseux polygon ⋮ On the growth of solutions of difference equations in ultrametric fields ⋮ An ultrametric version of the Maillet-Malgrange theorem for nonlinear $q$-difference equations ⋮ On the \(q\)-analogue of Pólya's theorem ⋮ \(q\)-Taylor and interpolation series for Jackson \(q\)-difference operators ⋮ Nevanlinna theory for Jackson difference operators and entire solutions of \(q\)-difference equations ⋮ Functional relations for solutions of \(q\)-difference equations ⋮ Elliptic \((p,q)\)-difference modules ⋮ Consistent systems of linear differential and difference equations ⋮ Entire solutions of a system of difference equations ⋮ On the archimedean and nonarchimedean 𝑞-Gevrey orders

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