4 papers
Stability under product and composition for uniform Carleman asymptotic expansions
Javier Jiménez-Garrido, Ignacio Miguel-Cantero, Javier Sanz +1
We study the stability under point-wise product and under composition in Carleman classes of holomorphic functions, defined on sectors of the Riemann surface of the logarithm, and…
Sectorial extensions for ultraholomorphic classes defined by weight functions
Javier Jiménez-Garrido, Javier Sanz, Gerhard Schindl
We prove an extension theorem for ultraholomorphic classes defined by so-called Braun-Meise-Taylor weight functions and transfer the proofs from the single weight sequence case fro…
On a class of formal power series and their summability
A. Lastra, J. Sanz, J. R. Sendra
A family of formal power series, such that its coefficients satisfy a recursion formula, is characterized in terms of the summability, in the sense of J. P. Ramis, of its elements…
Strongly regular multi-level solutions of singularly perturbed linear partial differential equations
Alberto Lastra, Stéphane Malek, Javier Sanz
We study the asymptotic behavior of the solutions related to a family of singularly perturbed partial differential equations in the complex domain. The analytic solutions are asymp…