Catalan Transform of The k-Lucas Numbers


Özkan E. , Taştan M., Güngör O.

Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, cilt.13, ss.145-149, 2020 (Hakemli Üniversite Dergisi)

  • Cilt numarası: 13
  • Basım Tarihi: 2020
  • Doi Numarası: 10.18185/erzifbed.638488
  • Dergi Adı: Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi
  • Sayfa Sayıları: ss.145-149

Özet

In this study, the 𝐶𝐿𝑘,𝑛 description of Catalan transformation of 𝑘−Lucas 𝐿𝑘,𝑛 sequences was given. The 𝐶𝐿𝑘,𝑛 generating function of Catalan transformation of 𝑘−Lucas 𝐿𝑘,𝑛 sequences was obtained. And also, 𝐶𝐿𝑘,𝑛 transformation was written as the multiplying of Catalan matris C which is the lower triangular matris, and the 𝐿𝑘 matris of 𝑛 𝑥 1 type. Determinants of matrices which were formed with 𝐶𝐿𝑘,𝑛 by using Hankel transform were calculated.