The Anomalous Magnetic Moments of the Electron and the Muon - Improved   QED Predictions Using Pade Approximants
  We use Pade Approximants to obtain improved predictions for the anomalous magnetic moments of the electron and the muon. These are needed because of the very precise experimental values presently obtained for the electron, and soon to be obtained at BNL for the muon. The Pade prediction for the QED contribution to the anomalous magnetic moment of the muon differs significantly from the naive perturbative prediction. 
John Ellis, Marek Karliner, Mark A. Samuel and Eric Steinfelds