Estimating Coefficients of Frobenius Series by Legendre Transform and WKB Approximation
arXiv:1205.2221
Abstract
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.
Accepted contribution to The 2012 International Conference of Computer Science and Engineering, London 4-6 July 2012