20 citations · 86 across the 50 of their papers we have counts for
53 papers
Formal solution and strong asymptotic expansion of some initial value problem in two complex time variables, infinite order irregular singularities and Mahler transforms
Alberto Lastra, Stephane Malek
A formal solution to a partial differential equation of infinite order involving the action of Mahler-type operators in several variables is obtained. Such formal solutions is cons…
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…
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…
On parametric -Gevrey asymptotic expansions in two levels for some linear partial -difference-differential equations
Alberto Lastra, Stephane Malek
A novel asymptotic representation of the analytic solutions to a family of singularly perturbed difference-differential equations in the complex domain is obtained. Such asympt…
Gevrey versus q-Gevrey asymptotic expansions for some linear q-difference-differential Cauchy problem
Alberto Lastra, Stéphane Malek
The asymptotic behavior of the analytic solutions of a family of singularly perturbed q-difference-differential equations in the complex domain is studied. Different asymptotic exp…
On a moment generalization of some classical second-order differential equations generating classical orthogonal polynomials
Edmundo J. Huertas, Alberto Lastra, Víctor Soto-Larrosa
The aim of the work is to construct new polynomial systems, which are solutions to certain functional equations which generalize the second-order differential equations satisfied b…