Article
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A New Generalization of Fibonacci and Lucas Type Sedenions
Version 1
: Received: 6 March 2020 / Approved: 8 March 2020 / Online: 8 March 2020 (05:03:31 CET)
How to cite: Kızılateş, C.; Kırlak, S. A New Generalization of Fibonacci and Lucas Type Sedenions. Preprints 2020, 2020030133 Kızılateş, C.; Kırlak, S. A New Generalization of Fibonacci and Lucas Type Sedenions. Preprints 2020, 2020030133
Abstract
In this paper, by using the q-integer, we introduce a new generalization of Fibonacci and Lucas sedenions called q-Fibonacci and q-Lucas sedenions. We present some fundamental properties of these type of sedenions such as Binet formulas, exponential generating fuctions, summation formulas, Catalan's identity, Cassini's identity and d'Ocagne's identity.
Keywords
Sedenion algebra; Horadam number; q-integer; Binet-Like formula; exponential generating function
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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