Yazar "Sacli, Gulsum yeliz" seçeneğine göre listele

Listeleniyor 1 - 1 / 1
  • Küçük Resim Yok
    Öğe
    INVESTIGATING THE DUAL QUATERNION EXTENSION OF THE DGC LEONARDO SEQUENCE
    (Honam Mathematical Soc, 2024) Yilmaz, Cigdemigdem zeynep; Sacli, Gulsum yeliz
    In this study, we introduce a new generalization of the Leonardo sequence, dual quaternions with the DGC Leonardo sequence coefficients, depending on the parameter p is an element of R. This generalization gives dual quaternions with the dual-complex Leonardo sequence for p = -1, dual quaternions with the hyper-dual Leonardo sequence for p = 0, and dual quaternions with the dual-hyperbolic Leonardo sequence for p = 1. The basic algebraic structures and some special characteristic relations are presented, as well as the Binet's formula, generating function, d'Ocagne's, Catalan's, Cassini's, and Tagiuri's identities.