Extension of holomorphic bundles to the disc (and Serre's Problem on   Stein bundles)
  We show how to extend some holomorphic bundles with fifer C^2 and base an open set in C, to bundles on the Riemann Sphere, by an extremely simple technique. In particular, it applies to examples of non-Stein bundles constructed by Skoda and Demailly. It gives an example on C, with polynomial transition automorphisms. 
Jean-Pierre Rosay