Construction of dual-generalized complex Fibonacci and Lucas quaternions

Construction of dual-generalized complex Fibonacci and Lucas quaternions

The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence relations, Binet's formulas, Tagiuri's (or Vajda's like), Honsberger&#...

Full description

Bibliographic Details
Main Authors:	G.Y. Şentürk, N. Gürses, S. Yüce
Format:	Article
Language:	English
Published:	Vasyl Stefanyk Precarpathian National University 2022-11-01
Series:	Karpatsʹkì Matematičnì Publìkacìï
Subjects:	quaternion dual-generalized complex number fibonacci number lucas number
Online Access:	https://journals.pnu.edu.ua/index.php/cmp/article/view/4706

Similar Items

Some Identities of Fibonacci and Lucas Quaternions by Quaternion Matrices
by: Bahar Demirtürk Bitim
Published: (2019-01-01)

Properties of Generalized Bronze Fibonacci Sequences and Their Hyperbolic Quaternions
by: Engin Özkan, et al.
Published: (2024-12-01)

Hyper-Dual Leonardo Quaternions
by: Tülay Yağmur
Published: (2024-09-01)

Bi-Periodic (p,q)-Fibonacci and Bi-Periodic (p,q)-Lucas Sequences
by: Yasemin Taşyurdu, et al.
Published: (2023-02-01)

On the Hyperbolic Leonardo and Hyperbolic Francois Quaternions
by: Paula Maria Machado Cruz Catarino, et al.
Published: (2023-03-01)

On the Bicomplex $k$-Fibonacci Quaternions
by: Fügen Torunbalcı Aydın
Published: (2019-09-01)

3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers
by: Sinan Karakaya, et al.
Published: (2018-12-01)

Dual Jacobsthal Quaternions
by: Fügen Torunbalcı Aydın
Published: (2020-09-01)

Some Notes on Odd or Even Indexed Fibonacci And Lucas Sequences
by: Alparslan Kargın, et al.
Published: (2019-10-01)

Combinatorial identities concerning trigonometric functions and Fibonacci/Lucas numbers
by: Yulei Chen, et al.
Published: (2024-03-01)

Transmission of Time and Position Variable Cryptology in Fibonacci and Lucas Number Series with Music
by: Firdevs Nur Algül, et al.
Published: (2021-04-01)

Three new classes of binomial Fibonacci sums
by: Robert Frontczak
Published: (2024-11-01)

On $k$-Fibonacci balancing and $k$-Fibonacci Lucas-balancing numbers
by: S.E. Rihane
Published: (2021-06-01)

On Bicomplex Pell and Pell-Lucas Numbers
by: Fügen Torunbalcı Aydın
Published: (2018-12-01)

Hybrid Numbers with Fibonacci and Lucas Hybrid Number Coefficients
by: Emrah Polatlı
Published: (2023-09-01)

Binomial Sum Relations Involving Fibonacci and Lucas Numbers
by: Kunle Adegoke, et al.
Published: (2023-11-01)

On the Reciprocal Sums of Products of Balancing and Lucas-Balancing Numbers
by: Younseok Choo
Published: (2021-02-01)

Fibonacci sums and divisibility properties
by: Kunle Adegoke, et al.
Published: (2023-12-01)

On Some Properties of Bihyperbolic Numbers of The Lucas Type
by: Fügen Torunbalcı Aydın
Published: (2023-12-01)

Fibonacci quarterly
Published: (1963)

On Bicomplex (<i>p,q</i>)-Fibonacci Quaternions
by: Çağla Çelemoğlu
Published: (2024-01-01)

On Geometric Circulant Matrices Whose Entries are Bi-Periodic Fibonacci and Bi-Periodic Lucas Numbers
by: Emrah Polatlı
Published: (2020-09-01)

关于(k,h)-Fibonacci和(k,h)-Lucas数的r-循环矩阵的谱范数(On the spectral norms of r-circulant matrices with the (k,h)-Fibonacci and (k,h)-Lucas numbers)
by: SHENShouqiang(沈守强), et al.
Published: (2014-07-01)

Global Behavior of Solutions to a Higher-Dimensional System of Difference Equations with Lucas Numbers Coefficients
by: Messaoud Berkal, et al.
Published: (2024-03-01)

Hyperbolic Fibonacci Sequence
by: Fügen Torunbalcı Aydın
Published: (2019-06-01)

On class of numbers related to both the Fibonacci and Pell numbers /
by: 182544 Nguyen, Huu-Bong
Published: (1984)

Applications of Fibonacci numbers : proceedings of the Third International Conference on Fibonacci Numbers and Their Applications, Pisa, Italy, July 25-29, 1988 /
by: International Conference on Fibonacci Numbers and Their Applications (3rd : 1988 : Pisa, Italy), et al.
Published: (1988)

Generalization of the Distance Fibonacci Sequences
by: Nur Şeyma Yilmaz, et al.
Published: (2024-06-01)

Applications of Fibonacci numbers : proceedings of the Fourth International Conference on Fibonacci Numbers and Their Applications, Wake Forest University, N.C., U.S.A., July 30 - August 3, 1990 /
by: International Conference on Fibonacci Numbers and Their Applications (4th : 1990 : Wake Forest University, North Carolina), et al.
Published: (1990)

Applications of Fibonacci numbers : proceedings of 'The Tenth International Research Conference on Fibonacci Numbers and Their Applications', Northern Arizona University, Flagstaff, Arizona, U.S.A., June 24-28, 2002 /
by: International Conference on Fibonacci Numbers and Their Applications (10th : 2002 : Northern Arizona University), et al.
Published: (2004)

Applications of fibonacci numbers : proceedings of the Sixth International Research Conference on Fibonacci Numbers and Their Applications, Washington State University, Pullman, Washington, U.S.A., July 18-22, 1994 /
by: International Conference on Fibonacci Numbers and Their Applications (6th : 1994 : Pullman, Washington), et al.
Published: (1996)

Simultaneous randomness and order : the Fibonacci-divine proportion as a universal forming principle / [mikrofilem]
by: 333439 Tyng, Anne Griswold

Lucas numbers of the form PX2, where P is prime
by: Neville Robbins
Published: (1991-01-01)

ON THE ZEROS OF THE DERIVATIVES OF FIBONACCI AND LUCAS POLYNOMIALS
by: Nihal Yılmaz Özgür, et al.
Published: (2015-08-01)

The Neutrosophic Quaternions Numbers
by: Yaser Ahmad Alhasan, et al.
Published: (2024-02-01)

Two generalizations of dual-complex Lucas-balancing numbers
by: Bród Dorota, et al.
Published: (2022-12-01)

On quaternions and octonions : their geometry, arithmetic, and symmetry /
by: 449141 Conway, John Horton, et al.
Published: (2003)

On Fibonacci (k,p)-Numbers and Their Interpretations
by: Berke Cengiz, et al.
Published: (2023-04-01)

On the Incomplete Edouard and Incomplete Edouard–Lucas Numbers
by: Elen Viviani Pereira Spreafico, et al.
Published: (2024-10-01)

Some sums related to the terms of generalized Fibonacci autocorrelation sequences
by: Neşe Ömür, et al.
Published: (2017-06-01)