@article{10902/21839,
year = {2021},
month = {7},
url = {http://hdl.handle.net/10902/21839},
abstract = {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 Olver.},
organization = {Financial support from Ministerio de Ciencia e Innovación, Spain, projects MTM2015-67142-P (MINECO/FEDER, UE) and PGC2018-098279-B-I00 (MCIU/AEI/FEDER, UE) is acknowledged},
publisher = {World Scientific},
publisher = {Analysis and Applications, Vol. 19, No. 04, pp.647-678},
title = {Simplified error bounds for turning point expansions},
author = {Dunster, T. M. and Gil Gómez, Amparo and Segura Sala, José Javier},
}