@article{10902/35871,
year = {2025},
month = {1},
url = {https://hdl.handle.net/10902/35871},
abstract = {The real and complex zeros of the parabolic cylinder function U (a,z)  are studied. Asymptotic expansions for the zeros are derived, involving the zeros of Airy functions, and these are valid for a positive or negative and large in absolute value, uniformly for unbounded z (real or complex). The accuracy of the approximations of the complex zeros is then demonstrated with some comparative tests using a highly precise numerical algorithm for finding the complex zeros of the function.},
organization = {The authors acknowledge support from Ministerio de Ciencia e Innovación, project PID2021-127252NB-I00 (MCIN/AEI/10.13039/501100011033/FEDER, UE).},
publisher = {Blackwell Publishing Ltd},
publisher = {Studies in Applied Mathematics, 2025, 154(1), e70004},
title = {Uniform asymptotic expansions for the zeros of parabolic cylinder functions},
author = {Dunster, T. M. and Gil Gómez, Amparo and Ruiz Antolín, Diego and Segura Sala, José Javier},
}