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

Gil, Amparo; Segura, Javier; Temme, Nico

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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Keywords	Coulomb wave functions, McMahon-type zeros, Asymptotic expansions
Organisation	Scientific Computing
Citation APA Style AAA Style APA Style Cell Style Chicago Style Harvard Style IEEE Style MLA Style Nature Style Vancouver Style American-Institute-of-Physics Style Council-of-Science-Editors Style BibTex Format Endnote Format RIS Format CSL Format DOIs only Format	Gil, A., Segura, J., & Temme, N. (2024). McMahon-type asymptotic expansions of the zeros of the Coulomb wave functions.

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

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