On k-Pell hybrid numbers

P Catarino - Journal of Discrete Mathematical Sciences and …, 2019 - Taylor & Francis
The aim of this work is to introduce a new sequence of numbers called k-Pell hybrid
numbers and the presentation of some algebraic properties involving this sequence. In …

The Modified Pell and the Modified k-Pell Quaternions and Octonions

P Catarino - Advances in Applied Clifford Algebras, 2016 - Springer
The Modified Pell and the Modified k-Pell Quaternions and Octonions Page 1 Adv. Appl. Clifford
Algebras 26 (2016), 577–590 c© 2015 Springer Basel 0188-7009/020577-14 published online …

[PDF][PDF] On the Mersenne sequence

P Catarino, H Campos, P Vasco - CM-Centro de Matemática, 2016 - repositorio.utad.pt
From Binet's formula of Mersenne sequence we get some properties for this sequence.
Mersenne, Jacobsthal and Jacobsthal-Lucas sequences are considered in order to achieve …

[PDF][PDF] On Pell and Pell− Lucas Hybrid Numbers

A Szynal-Liana, I Włoch - Commentationes Mathematicae, 2018 - bibliotekanauki.pl
In this paper we introduce the Pell and Pell− Lucas hybrid numbers as special kinds of
hybrid numbers. We describe some properties of Pell hybrid numbers and Pell− Lucas …

[PDF][PDF] On some identities for k-Fibonacci sequence

P Catarino - Int. J. Contemp. Math. Sci, 2014 - m-hikari.com
On Some Identities for k-Fibonacci Sequence Page 1 Int. J. Contemp. Math. Sciences, Vol. 9,
2014, no. 1, 37 - 42 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/ijcms.2014.311120 …

Bicomplex k-Pell Quaternions

P Catarino - Computational Methods and Function Theory, 2019 - Springer
The aim of this work is to consider the bicomplex k-Pell quaternions and to present some
properties involving this sequence, including the Binet-style formulae and the generating …

[PDF][PDF] A note involving two-by-two matrices of the k-Pell and k-Pell-Lucas sequences

P Catarino, P Vasco - International Mathematical Forum, 2013 - academia.edu
A Note Involving Two-by-Two Matrices of the k-Pell and k-Pell-Lucas Sequences Page 1
International Mathematical Forum, Vol. 8, 2013, no. 32, 1561 - 1568 HIKARI Ltd, www.m-hikari.com …

New families of Jacobsthal and Jacobsthal-Lucas numbers

P Catarino, P Vasco, H Campos… - Algebra and …, 2015 - admjournal.luguniv.edu.ua
New families of Jacobsthal and Jacobsthal-Lucas numbers Page 1 Algebra and Discrete
Mathematics RESEARCH ARTICLE Volume 20 (2015). Number 1, pp. 40–54 © Journal “Algebra …

[PDF][PDF] Modified k-Pell sequence: Some identities and ordinary generating function

P Catarino, P Vasco - Appl. Math. Sci, 2013 - academia.edu
Some identities of the k-Pell-Lucas sequence and their relationship to the Modified k-Pell
sequence allow us to obtain some identities for Modified k-Pell numbers. Also the ordinary …

A note on k-Pell, k-Pell-Lucas and Modified k-Pell numbers with arithmetic indexes

PMMC Catarino, H Campos… - Acta Mathematica …, 2019 - iam.fmph.uniba.sk
97 A NOTE ON k-PELL, k-PELL-LUCAS AND MODIFIED k-PELL NUMBERS WITH
ARITHMETIC INDEXES 1. Introduction In this paper, we consider Page 1 Acta Math. Univ …