2017/12/27 by Fügen Torunbalcı Aydın, Aydin, Fugen Torunbalci
Physics and Astronomy · Mathematics · #Advanced Mathematical Theories and Applications #Mathematical Inequalities and Applications #Advanced Mathematical Identities
paper · pdf · doi:10.48550/arxiv.1712.09595
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 with 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.