McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions
McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions
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Full title
McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions
Author / Creator
Journal title
Symmetry, integrability and geometry, methods and applications, 2024-01
Language
English
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Scope and Contents
Contents
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.
Alternative Titles
Full title
McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions
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Record Identifier
TN_cdi_crossref_primary_10_3842_SIGMA_2024_075
Permalink
https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_crossref_primary_10_3842_SIGMA_2024_075
Other Identifiers
ISSN
1815-0659
E-ISSN
1815-0659
DOI
10.3842/SIGMA.2024.075
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