7 citations · 10 across the 4 of their papers we have counts for
4 papers
Endless continuability and convolution product
Eric Delabaere, Yafei Ou
We provide a rigorous analysis for the so-called endlessly continuable germs of holomorphic functions or in other words, the Ecalle's resurgent functions. We follow and complete an…
Effective resummation methods for an implicit resurgent function
Eric Delabaere
Our main aim in this self-contained article is at the same time to detail the relationships between the resurgence and the hyperasymptotic theories, and to demonstrate how these th…
Sommation effective d'une somme de Borel par séries de factorielles
Eric Delabaere, Jean-Marc Rasoamanana
We consider the effective resummation of a Borel sum by its associated factorial series expansion. Our approach provides concrete estimates for the remainder term when truncating t…
Resurgent Deformations for an Ordinary Differential Equation of Order 2
Eric Delabaere, Jean-Marc Rasoamanana
We consider in the complex field the differential equation $\displaystyle \frac{d^2}{d x^2} Φ(x) = \frac{P_m(x,\a)}{x^2}Φ(x)$, where is a monic polynomial function of order $…