Simplified error bounds for turning point expansions
Classical Analysis and ODEs
2020-04-28 v2
Abstract
Recently, the present authors derived new asymptotic expansions for linear differential equations having a simple turning point. These involve Airy functions and slowly varying coefficient functions, and were simpler than previous approximations, in particular being computable to a high degree of accuracy. Here we present explicit error bounds for these expansions which only involve elementary functions, and thereby provide a simplification of the bounds associated with the classical expansions of F. W. J. Olver.
Cite
@article{arxiv.1909.13415,
title = {Simplified error bounds for turning point expansions},
author = {T. M. Dunster and A. Gil and J. Segura},
journal= {arXiv preprint arXiv:1909.13415},
year = {2020}
}