دورية أكاديمية
Sums of generalized convergent harmonic series with eight periodically repeated numerators
| العنوان: | Sums of generalized convergent harmonic series with eight periodically repeated numerators |
|---|---|
| المؤلفون: | Radovan Potucek |
| المصدر: | Ratio Mathematica, Vol 28, Iss 1, Pp 3-14 (2015) |
| بيانات النشر: | Accademia Piceno Aprutina dei Velati, 2015. |
| سنة النشر: | 2015 |
| المجموعة: | LCC:Mathematics LCC:Probabilities. Mathematical statistics |
| مصطلحات موضوعية: | alternating harmonic series, geometric series, sum of the se- ries, CAS Maple., Mathematics, QA1-939, Probabilities. Mathematical statistics, QA273-280 |
| الوصف: | This contribution deals with the generalized convergent harmonic series with eight periodically repeated numerators and it is a follow-up to author’s papers dealing with the generalized alternating harmonic series with two up to seven periodically repeated numerators. It is derived the only expression of the last numerator depending on preceding numerators for which this series converges. Then the formula for the sum of this series is analytically derived. This analytical result is numerically verified by using the CAS Maple 16. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1592-7415 2282-8214 |
| Relation: | http://eiris.it/ojs/index.php/ratiomathematica/article/view/24; https://doaj.org/toc/1592-7415; https://doaj.org/toc/2282-8214 |
| DOI: | 10.23755/rm.v28i1.24 |
| URL الوصول: | https://doaj.org/article/bce37bd9c2204470a46b13c88be8c92b |
| رقم الأكسشن: | edsdoj.bce37bd9c2204470a46b13c88be8c92b |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 15927415 22828214 |
|---|---|
| DOI: | 10.23755/rm.v28i1.24 |