@article{10902/31000,
year = {2024},
month = {3},
url = {https://hdl.handle.net/10902/31000},
abstract = {Numerical methods for the computation of the parabolic cylinder function U(a,z) for real a and complex z are presented. The main tools are recent asymptotic expansions involving exponential and Airy functions, with slowly varying analytic coefficient functions involving simple coefficients, and stable integral representations; these two main methods can be complemented with Maclaurin series and a Poincaré asymptotic expansion. We provide numerical evidence showing that the combination of these methods is enough for computing the function with 5 × 10-13 relative accuracy in double precision floating point arithmetic.},
organization = {The authors acknowledge financial support from Ministerio de Ciencia e Innovación, projects PGC2018-098279-B-I00 (MCIN/AEI/10.13039/ 501100011033/FEDER “Una manera de hacer Europa”) and PID2021-127252NB-I00 (MCIN/AEI/10.13039/ 501100011033/FEDER, UE).},
publisher = {Elsevier},
publisher = {Applied Numerical Mathematics, 2024, 197, 230-242},
title = {Computation of parabolic cylinder functions having complex argument},
author = {Dunster, T.M. and Gil Gómez, Amparo and Segura Sala, José Javier},
}