| dc.contributor.author | Tuglu, Naim | |
| dc.contributor.author | Yesil, Fatma | |
| dc.contributor.author | Dziemianczuk, Maciej | |
| dc.contributor.author | Kocer, E. Gokcen | |
| dc.date.accessioned | 2019-09-01T13:05:28Z | |
| dc.date.available | 2019-09-01T13:05:28Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 1300-0098 | |
| dc.identifier.issn | 1303-6149 | |
| dc.identifier.uri | https://dx.doi.org/10.3906/mat-1506-56 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12450/1275 | |
| dc.description | WOS: 000386115600010 | en_US |
| dc.description.abstract | In this paper, we prove the q-analogue of the fundamental theorem of Riordan arrays. In particular, by defining two new binary operations *(q) and *(1/q), we obtain a q-analogue of the Riordan representation of the q-Pascal matrix. In addition, by aid of the q-Lagrange expansion formula we get q-Riordan representation for its inverse matrix. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | SCIENTIFIC TECHNICAL RESEARCH COUNCIL TURKEY-TUBITAK | en_US |
| dc.relation.isversionof | 10.3906/mat-1506-56 | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Riordan representation | en_US |
| dc.subject | Pascal matrices | en_US |
| dc.subject | q-calculus | en_US |
| dc.title | q-Riordan array for q-Pascal matrix and its inverse matrix | en_US |
| dc.type | article | en_US |
| dc.relation.journal | TURKISH JOURNAL OF MATHEMATICS | en_US |
| dc.authorid | Tuglu, Naim -- 0000-0002-7277-0034; Dziemianczuk, Maciej -- 0000-0002-0553-7750 | en_US |
| dc.identifier.volume | 40 | en_US |
| dc.identifier.issue | 5 | en_US |
| dc.identifier.startpage | 1038 | en_US |
| dc.identifier.endpage | 1048 | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.contributor.department-temp | [Tuglu, Naim] Gazi Univ, Fac Sci, Dept Math, Ankara, Turkey -- [Yesil, Fatma] Amasya Univ, Fac Art & Sci, Dept Math, Amasya, Turkey -- [Dziemianczuk, Maciej] Univ Gdansk, Inst Informat, Gdansk, Poland -- [Kocer, E. Gokcen] Konya Necmettin Erbakan Univ, Fac Educ Meram, Konya, Turkey | en_US |
