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

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.

 Authorship: Gil A., Segura J., Temme N.M.,

 Fuente: Symmetry, Integrability and Geometry: Methods and Applications, 2024, 20, 075

 Publisher: Department of Applied Research Institute of Mathematics of National Academy of Science of Ukraine

 Publication date: 01/08/2024

 No. of pages: 9

 Publication type: Article

 DOI: 10.3842/SIGMA.2024.075

 ISSN: 1815-0659

 Spanish project: PID2021-127252NB-I00

Authorship

NICOLAAS MARIA TEMME