On Bicomplex Pell and Pell-Lucas Numbers

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 numb...

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Bibliographic Details
Main Author: Fügen Torunbalcı Aydın
Format: Article
Language:English
Published: Emrah Evren KARA 2018-12-01
Series:Communications in Advanced Mathematical Sciences
Subjects:
Online Access:https://dergipark.org.tr/tr/download/article-file/603959
Description
Summary: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.
ISSN:2651-4001