## C A ] 8 M ar 2 00 5 On the simpleness of zeros of Stokes multipliers

- TRINH Duc Tai
- 2008

- Published 2008

We consider in the complex field the differential equation d dx Φ(x) = Pm(x, a) x Φ(x), where Pm is a monic polynomial function of order m with coefficients a = (a1, · · · , am). We investigate the asymptotic, resurgent, properties of the solutions at infinity, focusing in particular on the analytic dependence on a of the Stokes-Sibuya multipliers. Taking… CONTINUE READING

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