Estimating Coefficients of Frobenius Series by Legendre Transform and   WKB Approximation
  The Frobenius method can be used to represent solutions of ordinary differential equations by (generalized) power series. It is useful to have prior knowledge of the coefficients of this series. In this contribution we demonstrate that the magnitude of the coefficients can be predicted to surprisingly high accuracy by a Legendre transformation of WKB approximated solutions to the differential equations. 
Amna Noreen and K{\aa}re Olaussen
math-ph math.MP physics.comp-ph quant-ph