On the Bicomplex Generalized Tribonacci Quaternions

KIZILATEŞ C., Catarino P., TUĞLU N.

MATHEMATICS, cilt.7, sa.1, 2019 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3390/math7010080
  • Dergi Adı: MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: bicomplex number, generalized tribonacci sequence, bicomplex generalized tribonacci quaternion
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we introduce the bicomplex generalized tribonacci quaternions. Furthermore, Binet's formula, generating functions, and the summation formula for this type of quaternion are given. Lastly, as an application, we present the determinant of a special matrix, and we show that the determinant is equal to the nth term of the bicomplex generalized tribonacci quaternions.