# Erratum to: Some Matrix Representations of Fibonacci Quaternions and Octonions

Erratum to: Some Matrix Representations of Fibonacci Quaternions and Octonions Adv. Appl. Cliﬀord Algebras 27 (2017), 2899–2900 c 2017 Springer International Publishing 0188-7009/032899-2 Advances in published online May 29, 2017 Applied Cliﬀord Algebras DOI 10.1007/s00006-017-0792-0 ERRATUM Erratum to: Some Matrix Representations of Fibonacci Quaternions and Octonions Serpil Halici and Adnan Karata¸ s Erratum to: Adv. Appl. Cliﬀord Algebras 27 (2017), 1233–1242 DOI 10.1007/s00006-016-0661-2 Unfortunately, Corollary 3.4 and Refs. [3, 4, 10] has been published incor- rectly. Correct version of Corollary 3.4 is as follows. Corollary 3.4. From diﬀerent matrix representations, the following Cassini identities are obtained: 2 n (i) p ◦ p − p =(−1) A , n−1 n+1 n 1 2 n (ii) p ◦ p − p =(−1) A , n+1 n−1 n 2 2 n (iii) p ◦ p − p =(−1) B , n−1 n+1 n 1 2 n (iv) p ◦ p − p =(−1) B . n+1 n−1 n 2 Correct version of Refs. [3, 4] and [10] are as follows, respectively. References [1] Halici, S.: On complex Fibonacci quaternions. Adv. Appl. Cliﬀord Algebr. 23(1), 105–112 (2013) [2] Halici, S.: On dual Fibonacci octonions. Adv. Appl. Cliﬀord Algebr. 25(4), 905– 914 (2015) The online version of the original article can be found under http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Advances in Applied Clifford Algebras Springer Journals

# Erratum to: Some Matrix Representations of Fibonacci Quaternions and Octonions

, Volume 27 (3) – May 29, 2017
2 pages

/lp/springer_journal/erratum-to-some-matrix-representations-of-fibonacci-quaternions-and-QxZc60Q6fa
Publisher
Springer International Publishing
Subject
Physics; Mathematical Methods in Physics; Theoretical, Mathematical and Computational Physics; Applications of Mathematics; Physics, general
ISSN
0188-7009
eISSN
1661-4909
D.O.I.
10.1007/s00006-017-0792-0
Publisher site
See Article on Publisher Site

### Abstract

Adv. Appl. Cliﬀord Algebras 27 (2017), 2899–2900 c 2017 Springer International Publishing 0188-7009/032899-2 Advances in published online May 29, 2017 Applied Cliﬀord Algebras DOI 10.1007/s00006-017-0792-0 ERRATUM Erratum to: Some Matrix Representations of Fibonacci Quaternions and Octonions Serpil Halici and Adnan Karata¸ s Erratum to: Adv. Appl. Cliﬀord Algebras 27 (2017), 1233–1242 DOI 10.1007/s00006-016-0661-2 Unfortunately, Corollary 3.4 and Refs. [3, 4, 10] has been published incor- rectly. Correct version of Corollary 3.4 is as follows. Corollary 3.4. From diﬀerent matrix representations, the following Cassini identities are obtained: 2 n (i) p ◦ p − p =(−1) A , n−1 n+1 n 1 2 n (ii) p ◦ p − p =(−1) A , n+1 n−1 n 2 2 n (iii) p ◦ p − p =(−1) B , n−1 n+1 n 1 2 n (iv) p ◦ p − p =(−1) B . n+1 n−1 n 2 Correct version of Refs. [3, 4] and [10] are as follows, respectively. References [1] Halici, S.: On complex Fibonacci quaternions. Adv. Appl. Cliﬀord Algebr. 23(1), 105–112 (2013) [2] Halici, S.: On dual Fibonacci octonions. Adv. Appl. Cliﬀord Algebr. 25(4), 905– 914 (2015) The online version of the original article can be found under

### Journal

Advances in Applied Clifford AlgebrasSpringer Journals

Published: May 29, 2017

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