McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions
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...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2024 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2024
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/212345 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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 |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862712631079469056 |
|---|---|
| author | Gil, Amparo Segura, Javier Temme, Nico M. |
| author_facet | Gil, Amparo Segura, Javier Temme, Nico M. |
| citation_txt | 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 |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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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| first_indexed | 2026-03-19T19:24:48Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-212345 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-19T19:24:48Z |
| publishDate | 2024 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Gil, Amparo Segura, Javier Temme, Nico M. 2026-02-05T09:54:24Z 2024 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 1815-0659 2020 Mathematics Subject Classification: 33C47; 33C10; 33C15; 41A60; 65D20; 65H05 arXiv:2402.14537 https://nasplib.isofts.kiev.ua/handle/123456789/212345 https://doi.org/10.3842/SIGMA.2024.075 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. We thank the referees for helpful and constructive remarks on an earlier version of the paper. We acknowledge financial support from Ministerio de Ciencia e Innovación, Spain, project PID2021-127252NB-I00 (MCIN/AEI/10.13039/501100011033/FEDER, UE). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions Article published earlier |
| spellingShingle | McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions Gil, Amparo Segura, Javier Temme, Nico M. |
| title | McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions |
| title_full | McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions |
| title_fullStr | McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions |
| title_full_unstemmed | McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions |
| title_short | McMahon-Type Asymptotic Expansions of the Zeros of the Coulomb Wave Functions |
| title_sort | mcmahon-type asymptotic expansions of the zeros of the coulomb wave functions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/212345 |
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