On Bicomplex Pell and Pell-Lucas Numbers

Authors : Fügen TORUNBALCI AYDIN

Pages : 142-155

Doi:10.33434/cams.439752

View : 13 | Download : 11

Publication Date : 2018-12-24

Article Type : Research Paper

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