Binomial transform of the generalized third-order Jacobsthal sequence


Soykan Y., TAŞDEMİR E., Göcen M.

Asian-European Journal of Mathematics, cilt.15, sa.12, 2022 (ESCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 15 Sayı: 12
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1142/s1793557122502242
  • Dergi Adı: Asian-European Journal of Mathematics
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, zbMATH
  • Anahtar Kelimeler: Binomial transform, third-order Jacobsthal sequence, third-order Jacobstha-Lucas sequence, binomial transform of third-order Jacobsthal sequence, generalized Tribonacci sequence
  • Kırklareli Üniversitesi Adresli: Evet

Özet

In this study, we establish the binomial transform of the generalized third-order Jacobsthal sequence. We also describe the binomial transform of four special cases of third-order Jacobsthal sequence such as the binomial transform of the third-order Jacobsthal, third-order Jacobsthal-Lucas, modified third-order Jacobsthal-Lucas, third-order Jacobsthal-Perrin sequences. Moreover, we examine their features in more detail.