Saved in:
| Main Authors: | , |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2602.15943 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866917278781538304 |
|---|---|
| author | Gonzalez, Ivan Salinas-Arizmendi, Daniel |
| author_facet | Gonzalez, Ivan Salinas-Arizmendi, Daniel |
| contents | Synchrotron radiation plays a central role in astrophysical and high-energy processes. Its spectral description involves the synchrotron function, defined by a non-trivial integral of modified Bessel functions and commonly evaluated through numerical methods or dedicated approximations. In this work, we obtain a compact analytical representation of the synchrotron function using the Method of Brackets, which yields systematically controllable asymptotic expansions in both the small- and large-argument regimes. The resulting expressions accurately reproduce numerical integration and make the analytic structure of the function explicit. Our results provide an efficient alternative to repeated numerical evaluations and facilitate applications requiring fast and controlled approximations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_15943 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | New formula for Asymptotic behavior of the Synchrotron function Gonzalez, Ivan Salinas-Arizmendi, Daniel Mathematical Physics High Energy Astrophysical Phenomena Synchrotron radiation plays a central role in astrophysical and high-energy processes. Its spectral description involves the synchrotron function, defined by a non-trivial integral of modified Bessel functions and commonly evaluated through numerical methods or dedicated approximations. In this work, we obtain a compact analytical representation of the synchrotron function using the Method of Brackets, which yields systematically controllable asymptotic expansions in both the small- and large-argument regimes. The resulting expressions accurately reproduce numerical integration and make the analytic structure of the function explicit. Our results provide an efficient alternative to repeated numerical evaluations and facilitate applications requiring fast and controlled approximations. |
| title | New formula for Asymptotic behavior of the Synchrotron function |
| topic | Mathematical Physics High Energy Astrophysical Phenomena |
| url | https://arxiv.org/abs/2602.15943 |