Catalan transform of the k-Pell, k-Pell-Lucas and modified k-Pell sequence
NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS, cilt.27, sa.1, ss.198-207, 2021 (Hakemli Dergi)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 27 Sayı: 1
- Basım Tarihi: 2021
- Doi Numarası: 10.7546/nntdm.2021.27.1.198-207
- Dergi Adı: NOTES ON NUMBER THEORY AND DISCRETE MATHEMATICS
- Derginin Tarandığı İndeksler: Other Indexes
- Sayfa Sayıları: ss.198-207
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Marmara Üniversitesi Adresli: Hayır
Özet
In this study, we present the Catalan transforms of the k-Pell sequence, the k-Pell-Lucas sequence and the Modified k-Pell sequence and examine the properties of the sequences. Then we apply the Hankel transform to the Catalan transforms of the k-Pell sequence, the Catalan transform of the k-Pell-Lucas sequence and the Catalan transform of the Modified k-Pell sequence. Also, we obtain the generating functions of the Catalan transform of the k-Pell sequence, k-Pell-Lucas sequence and Modified k-Pell sequence. Furthermore, we acquire an interesting characteristic related to the determinant of the Hankel transform of the sequences.