تقرير
A Family of New Formulas for the Euler-Mascheroni Constant
| العنوان: | A Family of New Formulas for the Euler-Mascheroni Constant |
|---|---|
| المؤلفون: | Ripke, Noah |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - General Mathematics, 40A05, 11B68 |
| الوصف: | We introduce and prove several new formulas for the Euler-Mascheroni Constant. This is done through the introduction of the defined E-Harmonic function, whose properties, in this paper, lead to two novel formulas, alongside a family of formulas. While the paper does introduce many new approximations, it does not exhaust the possibilities of the E-Harmonic function but provides a strong first dive into its natural conclusions. We hope that the diversity of new formulas may provide stepping stones to a proof (or disproof) of the irrationality of the Euler-Mascheroni constant. Comment: 7 pages, 2 figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.12246 |
| رقم الأكسشن: | edsarx.2405.12246 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |