- Communications in Advanced Mathematical Sciences
- Vol: 1 Issue: 2
- On Bicomplex Pell and Pell-Lucas Numbers
On Bicomplex Pell and Pell-Lucas Numbers
Authors : Fügen Torunbalci Aydin
Pages : 142-155
Doi:10.33434/cams.439752
View : 7 | Download : 5
Publication Date : 2018-12-24
Article Type : Research
Abstract :In this paper, bicomplex Pell and bicomplex Pell-Lucas numbers are defined. Also, negabicomplex Pell and negabicomplex Pell-Lucas numbers are given. Some algebraic properties of bicomplex Pell and bicomplex Pell-Lucas numbers which are connected between bicomplex numbers and Pell and Pell-Lucas numbers are investigated. Furthermore, d'Ocagne's identity, Binet's formula, Cassini's identity and Catalan's identity for these numbers are given.Keywords : Pell and Pell-Lucas numbers, Bicomplex number, Quaternion