Hyperasymptotic solutions of second-order ordinary differential equations with a singularity of arbitrary integer rank
Brian Murphy, A. D. Wood · Methods and Applications of Analysis · 1997
We develop a hyperasymptotic expansion for solutions of the general second-order homogeneous differential equation with a singularity of arbitrary integer Poincare rank at infinity.This expansion is in terms of certain integrals which are generalisations of the hyperterminant integrals developed in other papers for the rank one case.