3 papers
math.CV2025
On some -analog of an initial value problem with infinite order irregular singularity and Mahler transforms
Alberto Lastra, Stephane Malek
A family of -difference-differential equations in two complex variables is studied, under the action of a so-called Mahler transform on time variable. The appearance of a leadin…
math.CV2025
Parametric formal Gevrey asymptotic expansions in two complex time variable problems
Guoting Chen, Alberto Lastra, Stephane Malek
The analytic and formal solutions to a family of singularly perturbed partial differential equations in the complex domain involving two complex time variables are considered. The…
math.CV2025
On conditions determining formal automorphisms of integro-differential operators
Alberto Lastra, SÅawomir Michalik, Maria SuwiÅska
Results providing conditions on a family of integro-differential operators to determine a formal automorphism are established. Equivalently, the problem can be read in terms of exi…