Asymptotic Series of Poincaré and Stieltjes

At the end of the nineteenth century both Henri Poincare and the ´ Dutch mathematician Thomas Stieltjes had their first publication on asymptotic series. The question arises whether they had contact with each other at that time on this new subject. Hasse van Boven, Rob Wesselink and Steven Wepster analyse both publications and investigate these simultaneous developments.