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1. Some unrestricted Fibonacci and Lucas hyper-complex numbers.

Author

BILGICI, GÖKSAL and DAŞDEMIR, AHMET

Subjects
*LUCAS numbers, *COMPLEX numbers, *IDENTITY (Psychology), *GENERATING functions, *CAYLEY numbers (Algebra), *FIBONACCI sequence, *QUATERNIONS
Abstract

A number of studies have investigated the Fibonacci quaternions and octonions that include consecutive terms of the Fibonacci sequence. This paper presents a new generalization of Fibonacci quaternions, octonions and sedenions, where non-consecutive Fibonacci numbers are used. We present the Binet formulas, generating functions and some identities for these new types of hyper-complex numbers. [ABSTRACT FROM AUTHOR]

Published
2020
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