Mcmahon-type asymptotic expansions of the zeros of the coulomb wave functions

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URI: https://hdl.handle.net/10902/33464
ISSN: 1815-0659
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Autoría
Gil Gómez, AmparoAutoridad Unican; Segura Sala, José JavierAutoridad Unican; Temme, Nicolaas MariaAutoridad Unican
Fecha
2024-08
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Attribution-ShareAlike 4.0 International
Publicado en
Symmetry, Integrability and Geometry: Methods and Applications, 2024, 20, 075
Editorial
Department of Applied Research Institute of Mathematics of National Academy of Science of Ukraine
Palabras clave
Coulomb wave functions
McMahon-type zeros
Asymptotic expansions
Resumen/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.
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