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 $P_m$ is a monic polynomial function of order $…