Results 21 to 30 of about 1,148,545 (158)
, 2021 Until today, many researchers have studied related to hybrid numbers which are a generalization of complex, hyperbolic and dual numbers. In this paper, using the Leonardo numbers, we introduce the hybrid Leonardo numbers.
Kocer, E. Gokcen, Alp, Yasemin
core +1 more source
On Quaternion Gaussian Bronze Fibonacci Numbers
Annales Mathematicae Silesianae, 2022 In the present work, a new sequence of quaternions related to the Gaussian Bronze numbers is defined and studied. Binet’s formula, generating function and certain properties and identities are provided.
Catarino Paula, Ricardo Sandra
doaj +1 more source
A note on hyperbolic (p,q)-Fibonacci quaternions [PDF]
, 2020 In this paper, we introduce a new quaternion sequence called hyperbolic (p, q)-Fibonacci quaternions. This new quaternion sequence includes hyperbolic Fibonacci, hyperbolic k-Fibonacci, hyperbolic Pell, hyperbolic k-Pell, hyperbolic Jacobsthal ...
Yağmur, Tülay, Tülay YAĞMUR
core +1 more source
Extending generalized Fibonacci sequences and their binet-type formula [PDF]
Advances in Difference Equations, 2006 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saeki Osamu, Rachidi Mustapha
openaire +2 more sources
Communications in Advanced Mathematical Sciences, 2020 In this paper, dual Jacobsthal quaternions were defined. Also, the relations between dual Jacobsthal quaternions which connected with Jacobsthal and Jacobsthal-Lucas numbers were investigated. Furthermore, Binet's formula, Honsberger identity, D'ocagne'
Fügen Torunbalcı Aydın
doaj +1 more source
Higher-Order Jacobsthal–Lucas Quaternions
Axioms, 2022 In this work, we define higher-order Jacobsthal–Lucas quaternions with the help of higher-order Jacobsthal–Lucas numbers. We examine some identities of higher-order Jacobsthal–Lucas quaternions. We introduce their basic definitions and properties.
Mine Uysal, Engin Özkan
doaj +1 more source
Some identities of bivariate Pell and bivariate Pell-Lucas polynomials
Journal of Amasya University the Institute of Sciences and Technology, 2023 In this paper, we obtain some identities for the bivariate Pell polynomials and bivariate Pell-Lucas polynomials. We establish some sums and connection formulas involving them.
Yashwant Panwar
doaj +1 more source
Universal Journal of Mathematics and Applications, 2019 In this paper, we investigate the hyperbolic Fibonacci sequence and the hyperbolic Fibonacci numbers. Furthermore, we give recurrence relations, the golden ratio and Binet's formula for the hyperbolic Fibonacci sequence and Lorentzian inner product ...
Fügen Torunbalcı Aydın
doaj +1 more source
On a New One Parameter Generalization of Pell Numbers
Annales Mathematicae Silesianae, 2019 In this paper we present a new one parameter generalization of the classical Pell numbers. We investigate the generalized Binet’s formula, the generating function and some identities for r-Pell numbers.
Bród Dorota
doaj +1 more source
An Elementary Proof of the Generalization of the Binet Formula for $k$-bonacci Numbers
CoRR, 2022 We present an elementary proof of the generalization of the $k$-bonacci Binet formula, a closed form calculation of the $k$-bonacci numbers using the roots of the characteristic polynomial of the $k$-bonacci recursion.
Harold R. Parks, Dean C. Wills
openaire +2 more sources