20 citations · 86 across the 50 of their papers we have counts for
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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…
Meromorphic solutions of linear -difference equations
Alberto Lastra, Pascal Remy
In this article, we construct explicit meromorphic solutions of first order linear -difference equations in the complex domain and we describe the location of all their zeros an…
On q-Gevrey asymptotics for logarithmic type solutions in singularly perturbed q-difference-differential equations
Alberto Lastra, Stéphane Malek
A family of singularly perturbed q-difference-differential equations under the action of a small complex perturbation parameter is studied. The action of the formal monodromy aroun…
On conditions determining formal automorphisms of integro-differential operators
Alberto Lastra, Sławomir Michalik, Maria Suwińska
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…
On sequences preserving q-Gevrey asymptotic expansions
Alberto Lastra, Sławomir Michalik
The modification of the coefficients of formal power series is analyzed in order that such variation preserves q-Gevrey asymptotic properties, in particular q-Gevrey asymptotic exp…