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arXiv · 1712.09595

On bicomplex Pell and Pell-Lucas numbers

Fugen Torunbalci Aydin
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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 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.

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Fugen Torunbalci Aydin. 2017-12-27. On bicomplex Pell and Pell-Lucas numbers. https://arxiv.org/abs/1712.09595

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