Integral Representations of Some Series Involving (2k⊥k)-1 K-N and Some Related Series
| dc.contributor.author | Batir, N | |
| dc.date.accessioned | 2025-05-10T17:39:09Z | |
| dc.date.available | 2025-05-10T17:39:09Z | |
| dc.date.issued | 2004 | |
| dc.description | Batir, Necdet/0000-0003-0125-497X | en_US |
| dc.description.abstract | In this paper we analysed some series involving ((2k)(k))(-1) k(-n) and ((2k)(k))(-2) k(-n) and some other related series and derived the integral representations of those series considered by using some elementary properties of polylogarithms. The results we obtained show that all the integral representations involve so called log-sine terms. On using their representations we made some generalizations and closed form evaluations. We also obtained two new acceleration formulas for zeta(3) and Catalan's constant G. (C) 2003 Published by Elsevier Inc. | en_US |
| dc.identifier.doi | 10.1016/S0096-3003(02)00802-0 | |
| dc.identifier.issn | 0096-3003 | |
| dc.identifier.scopus | 2-s2.0-0141989963 | |
| dc.identifier.uri | https://doi.org/10.1016/S0096-3003(02)00802-0 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14720/14806 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier Science inc | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Integral Representations | en_US |
| dc.subject | Polylogarithms | en_US |
| dc.subject | Log-Sine Integrals | en_US |
| dc.subject | Catalan Constant | en_US |
| dc.subject | Special Functions | en_US |
| dc.subject | Riemann Zeta Function | en_US |
| dc.title | Integral Representations of Some Series Involving (2k⊥k)-1 K-N and Some Related Series | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Batir, Necdet/0000-0003-0125-497X | |
| gdc.author.institutional | Batir, N | |
| gdc.author.scopusid | 15730108100 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | T.C. Van Yüzüncü Yıl Üniversitesi | en_US |
| gdc.description.departmenttemp | Yuzuncu Yil Univ, Dept Math, T-65080 Van, Turkey | en_US |
| gdc.description.endpage | 667 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q1 | |
| gdc.description.startpage | 645 | en_US |
| gdc.description.volume | 147 | en_US |
| gdc.description.woscitationindex | Science Citation Index Expanded | |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.wos | WOS:000186209500004 | |
| gdc.index.type | WoS | |
| gdc.index.type | Scopus |