Yazarlar (1) |
![]() Kafkas Üniversitesi, Türkiye |
Özet |
In this paper, we define a new sequence called the quaternion-type Catalan sequence and give generating function, exponential representation, quaternionic Catalan matrix and its some properties. Then, we introduce a quaternion-type Catalan transform, which is a generalization of the Catalan transform, and its inverse. Moreover, we apply the quaternion-type Catalan transforms to -Fibonacci and -Lucas sequences and derive some new sequences by using these quaternion-type Catalan transforms. |
Anahtar Kelimeler |
Makale Türü | Özgün Makale |
Makale Alt Türü | SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale |
Dergi Adı | Journal of Mathematics |
Dergi ISSN | 2314-4785 Wos Dergi Scopus Dergi |
Dergi Tarandığı Indeksler | SCI-Expanded |
Dergi Grubu | Q1 |
Makale Dili | İngilizce |
Basım Tarihi | 01-2023 |
Cilt No | 2023 |
Doi Numarası | 10.1155/2023/2439110 |
Makale Linki | http://dx.doi.org/10.1155/2023/2439110 |
Atıf Sayıları | |
Google Scholar | 1 |