A new approach to asymptotics of Maclaurin coefficients of algebraic   functions
  We propose a general method for deriving asymptotics of the Maclaurin series coefficients of algebraic functions that is based on a procedure of K. V. Safonov and multivariate singularity analysis. We test the feasibility of this this approach by experimenting on several examples. 
Alexander Raichev, Mark C. Wilson
math.CO