@article{10902/33464,
year = {2024},
month = {8},
url = {https://hdl.handle.net/10902/33464},
abstract = {We derive asymptotic expansions of the large zeros of the Coulomb wave functions and for those of their derivatives. The new expansions have the same form as the McMahon expansions of the zeros of the Bessel functions and reduce to them when a parameter is equal to zero. Numerical tests are provided to demonstrate the accuracy of the expansions.},
organization = {We thank the referees for helpful and constructive remarks on an earlier version of the paper. We acknowledge financial support from Ministerio de Ciencia e Innovaci´on, Spain, project PID2021- 127252NB-I00 (MCIN/AEI/10.13039/501100011033/ FEDER, UE).},
publisher = {Department of Applied Research Institute of Mathematics of National Academy of Science of Ukraine},
publisher = {Symmetry, Integrability and Geometry: Methods and Applications, 2024, 20, 075},
title = {Mcmahon-type asymptotic expansions of the zeros of the coulomb wave functions},
author = {Gil Gómez, Amparo and Segura Sala, José Javier and Temme, Nicolaas Maria},
}