@article{10902/22760, year = {2021}, month = {1}, url = {http://hdl.handle.net/10902/22760}, abstract = {ABSTRACT: Computable and sharp error bounds are derived for asymptotic expansions for linear differential equations having a simple turning point. The expansions involve Airy functions and slowly varying coefficient functions. The sharpness of the bounds is illustrated numerically with an application to Bessel functions of large order.}, organization = {Financial support from Ministerio de Ciencia e Innovación Spain, project PGC2018-098279-B-I00 (MCIU/AEI/FEDER, UE) is acknowledged.}, publisher = {Element}, publisher = {Journal of classical analysis Volume 18, Number 1 (2021), 49-81}, title = {Sharp error bounds for turning point expansions}, author = {Dunster, T. M. and Gil Gómez, Amparo and Segura Sala, José Javier}, }