Working Paper Article Version 1 This version is not peer-reviewed

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.

Subject Areas

Sedenion algebra; Horadam number; q-integer; Binet-Like formula; exponential generating function

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