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math.CV2023★ 1 cited
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…
math.CV2023
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…