On Bicomplex Pell and Pell-Lucas Numbers

Year 2018, Volume: 1 Issue: 2, 142 - 155, 24.12.2018

Fügen Torunbalcı Aydın

https://doi.org/10.33434/cams.439752

Cited By: 4

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

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