Some unrestricted Fibonacci and Lucas hyper-complex numbers | Zendy

Göksal Bilgici | Zendy; Ahmet Daşdemir | Zendy

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Some unrestricted Fibonacci and Lucas hyper-complex numbers

Author(s) -

Göksal Bilgici,

Ahmet Daşdemir

Publication year - 2020

Publication title -

acta et commentationes universitatis tartuensis de mathematica

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.276

H-Index - 6

eISSN - 2228-4699

pISSN - 1406-2283

DOI - 10.12697/acutm.2020.24.03

Subject(s) - fibonacci number , lucas number , fibonacci polynomials , pisano period , lucas sequence , quaternion , generalization , mathematics , recurrence relation , sequence (biology) , combinatorics , arithmetic , mathematical analysis , chemistry , biochemistry , geometry , orthogonal polynomials , difference polynomials

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.

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