McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2024
• Hauptverfasser: Gil, Amparo, Segura, Javier, Temme, Nico M.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2024
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/212345
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions. Amparo Gil, Javier Segura and Nico M. Temme. SIGMA 20 (2024), 075, 9 pages

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...