Academic Journal
Lerch-harmonic numbers related to Lerch transcendent
| العنوان: | Lerch-harmonic numbers related to Lerch transcendent |
|---|---|
| المؤلفون: | Taekyun Kim, Dae San Kim, Jongkyum Kwon, Hyunseok Lee |
| المصدر: | Mathematical and Computer Modelling of Dynamical Systems, Vol 29, Iss 1, Pp 315-323 (2023) |
| بيانات النشر: | Taylor & Francis Group, 2023. |
| سنة النشر: | 2023 |
| المجموعة: | LCC:Mathematics LCC:Applied mathematics. Quantitative methods |
| مصطلحات موضوعية: | Lerch-harmonic numbers, Lerch transcendent, Mathematics, QA1-939, Applied mathematics. Quantitative methods, T57-57.97 |
| الوصف: | ABSTRACTHarmonic numbers and generalized harmonic numbers have been studied in connection with combinatorial problems, many expressions involving special functions in analytic number theory and analysis of algorithms. We introduce Lerch-harmonic numbers which generalize the harmonic numbers and the generalized harmonic numbers. The aim of this note is to derive some identities expressing certain finite sums as the infinite sums involving the Lerch-harmonic numbers. Then, by taking limits of such identities we obtain the corresponding infinite sums of the finite sums as the infinite sums involving the Lerch transcendents. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 13873954 1744-5051 1387-3954 |
| Relation: | https://doaj.org/toc/1387-3954; https://doaj.org/toc/1744-5051 |
| DOI: | 10.1080/13873954.2023.2284360 |
| URL الوصول: | https://doaj.org/article/46846f5ca89645b1be4c025af5342c65 |
| رقم الانضمام: | edsdoj.46846f5ca89645b1be4c025af5342c65 |
| قاعدة البيانات: | Directory of Open Access Journals |
| تدمد: | 13873954 17445051 |
|---|---|
| DOI: | 10.1080/13873954.2023.2284360 |