On the Bicomplex Generalized Tribonacci Quaternions


KIZILATEŞ C., Catarino P., TUĞLU N.

MATHEMATICS, cilt.7, sa.1, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Konu: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.3390/math7010080
  • Dergi Adı: MATHEMATICS

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.