On Third-Order Bronze Fibonacci Numbers
| dc.authorid | 43595 | en_US |
| dc.authorid | 24510 | en_US |
| dc.contributor.author | Akbıyık, Mücahit | |
| dc.contributor.author | Alo, Jeta | |
| dc.date.accessioned | 2021-12-23T12:22:21Z | |
| dc.date.available | 2021-12-23T12:22:21Z | |
| dc.date.issued | 2021 | |
| dc.department | İstanbul Beykent Üniversitesi | en_US |
| dc.description.abstract | In this study, we firstly obtain De Moivre-type identities for the second-order Bronze Fibonacci sequences. Next, we construct and define the third-order Bronze Fibonacci, third-order Bronze Lucas and modified third-order Bronze Fibonacci sequences. Then, we define the generalized third-order Bronze Fibonacci sequence and calculate the De Moivre-type identities for these sequences. Moreover, we find the generating functions, Binet’s formulas, Cassini’s identities and matrix representations of these sequences and examine some interesting identities related to the third-order Bronze Fibonacci sequences. Finally, we present an encryption and decryption application that uses our obtained results and we present an illustrative example. | en_US |
| dc.identifier.citation | Mathematics 2021, 9(20), 2606 | en_US |
| dc.identifier.doi | 10.3390/math9202606 | |
| dc.identifier.issn | 0035-8711 | |
| dc.identifier.scopus | 2-s2.0-85117449859 | en_US |
| dc.identifier.scopusquality | Q1 | en_US |
| dc.identifier.uri | https://doi.org/10.3390/math9202606 | |
| dc.identifier.wos | WOS:000744817300001 | en_US |
| dc.identifier.wosquality | Q1 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.language.iso | en | en_US |
| dc.publisher | MDPI | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.subject | Affine-Hill chipher | en_US |
| dc.subject | Binet’s formula | en_US |
| dc.subject | De Moivre-type identity | en_US |
| dc.subject | Third-order Bronze Fibonacci numbers | en_US |
| dc.title | On Third-Order Bronze Fibonacci Numbers | en_US |
| dc.type | Article | en_US |
