On hybrid numbers with Gaussian Leonardo coefficients

N Kara, F Yilmaz - Mathematics, 2023 - mdpi.com
We consider the Gaussian Leonardo numbers and investigate some of their amazing
characteristic properties, including their generating function, the associated Binet formula …

A note on Horadam hybrinomials

C Kızılateş - Fundamental Journal of mathematics and Applications, 2022 - dergipark.org.tr
This paper ensures an extensive survey of the generalization of the various hybrid numbers
and hybrid polynomials especially as part of its enhancing importance in the disciplines of …

Matrix structure of Jacobsthal numbers

AH Ganie, MM AlBaidani - Journal of Function Spaces, 2021 - Wiley Online Library
Matrix Structure of Jacobsthal Numbers Page 1 Research Article Matrix Structure of
Jacobsthal Numbers Abdul Hamid Ganie 1 and Mashael M. AlBaidani 2 1Basic Science …

[PDF][PDF] Hybrid hyper-Fibonacci and hyper-Lucas numbers

Y Alp - Notes on Number Theory and Discrete Mathematics, 2023 - nntdm.net
Different number systems have been studied lately. Recently, many researchers have
considered the hybrid numbers which are generalization of the complex, hyperbolic and …

The sequence of higher order Mersenne numbers and associated binomial transforms

K Prasad, M Kumari, R Mohanta, H Mahato - arXiv preprint arXiv …, 2023 - arxiv.org
In this article, we introduce and study a new integer sequence referred to as the higher order
Mersenne sequence. The proposed sequence is analogous to the higher order Fibonacci …

On the generalization of Mersenne and Gaussian Mersenne polynomials

M Kumari, K Prasad, J Tanti - The Journal of Analysis, 2024 - Springer
The aim of this paper is to define the generalization of the Mersenne and Gaussian
Mersenne polynomials with arbitrary initial values and study their properties. We investigate …

On Gaussian Leonardo Hybrid Polynomials

T Yaǧmur - Symmetry, 2023 - mdpi.com
In the present paper, we first study the Gaussian Leonardo numbers and Gaussian
Leonardo hybrid numbers. We give some new results for the Gaussian Leonardo numbers …

On the Gaussian higher order Mersenne numbers

M Kumari, R Mohanta, K Prasad… - Advances in Mathematical …, 2025 - degruyter.com
This paper aims to introduce sequence of Gaussian higher order Mersenne numbers and
present their algebraic properties. We present the Binet's formula, Catalan's identity …

Hybrid number matrices

H Çakır, M Özdemir - Filomat, 2023 - doiserbia.nb.rs
The aim of this study is to investigate some properties of hybrid number matrices. Firstly, we
introduce hybrid numbers with some of their properties. Then we prove that any hybrid …

[PDF][PDF] QUADRA FIBONA-PELL HYBRID NUMBERS AND HYBRINOMIALS

E SEVGİ, B POLAT - Journal of Science and Arts, 2024 - josa.ro
In this paper, we define quadra Fibona-Pell hybrid numbers by using the definition of hybrid
numbers. After that, we introduce quadra Fibona-Pell hybrinomials and investigate some …