Beyond the Euler--Mascheroni Constant: A Family of Functionals
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866914058151657472 |
|---|---|
| author | Nagai, Ken |
| author_facet | Nagai, Ken |
| contents | We introduce a family of regularized functionals $g_n(x)$ that generalize the Euler--Mascheroni constant $γ$. They arise from a weighted regularization of Clausen-type trigonometric sums, and admit explicit integral representations, differential and ladder relations, together with an umbral generating function. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_22289 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Beyond the Euler--Mascheroni Constant: A Family of Functionals Nagai, Ken General Mathematics We introduce a family of regularized functionals $g_n(x)$ that generalize the Euler--Mascheroni constant $γ$. They arise from a weighted regularization of Clausen-type trigonometric sums, and admit explicit integral representations, differential and ladder relations, together with an umbral generating function. |
| title | Beyond the Euler--Mascheroni Constant: A Family of Functionals |
| topic | General Mathematics |
| url | https://arxiv.org/abs/2509.22289 |