Asymptotic Expansions for the Coefficient Functions Associated with Linear Second-Order Differential Equations: The Simple Pole Case

In this paper we extend previous work of ours (Boyd [2]) on uniform asymptotic behaviour of solutions of second order linear differential equations. That work was concerned with the uniform asymptotic behaviour of solutions of the differential equation (1.1) d 2 W d ζ 2 ( u , ζ ) = { u 2 ζ + ψ ( ζ ) } K ( u , ζ ) https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9781003072584/300cbf75-7783-4a6f-9796-7cd4d736d320/content/eq193.tif"/>