2 papers
math.CV2006
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…
math.CA2004
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 $…