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…
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…
q-Nagumo norms and formal solutions to singularly perturbed q-difference equations
Sergio A. Carrillo, Alberto Lastra
The aim of this work is to establish the existence, uniqueness and q-Gevrey character of formal power series solutions of q-analogues of analytic doubly-singular equations. Using a…
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…
A dual watermaking scheme based on Sobolev type orthogonal moments for document authentication
Alicia María Centurión-Fajardo, Alberto Lastra, Anier Soria-Lorente
A dual watermarking scheme based on Sobolev type orthogonal moments, Charlier and Meixner, is proposed based on different discrete measures. The existing relation through the conne…
Solutions of linear systems of moment differential equations via generalized matrix exponentials
Alberto Lastra, Cruz Prisuelos-Arribas
A generalized exponential matrix based on the construction of kernel operators for generalized summability is defined and analyzing its main properties, generalizing the classical…
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…