Prediction of the higher-order terms based on Borel resummation with   conformal mapping
  In this paper we discuss the method of the resummation of the asymptotic series suggested by Kazakov et al. (1978) and predictions of the higher order terms based on this approach. Application of this method to $\varphi^4$ model is discussed. 
M. Kompaniets
hep-th cond-mat.stat-mech