Results 81 to 90 of about 1,029,498 (122)

Simple and reliable analytic approximation to the numerical solution of the relativistic Binet’s equation: an application to Mercury

Proceedings of the Estonian Academy of Sciences
The nonlinear trajectory equation (Binet’s equation) for a particle in a relativistic force field can only be solved numerically or, alternatively, by using a perturbational solution scheme.
Matti Selg
semanticscholar   +1 more source

Balancing and Lucas-Balancing hybrid numbers and some identities

Journal of Information and Optimization Sciences
In this paper, we introduce Balancing and Lucas-Balancing hybrid numbers. We examine some identities of Balancing and Lucas-Balancing hybrid numbers. We give some basic definitions and properties related to them.
M. Uysal, Engin Özkan
semanticscholar   +1 more source

On the Mersenne and Mersenne-Lucas hybrid quaternions

Mathematics and Computer Science
In this paper, we define Mersenne, Mersenne-Lucas hybrid quaternions. We give the Binet’s formula, the generating functions, exponential generating functions and sum formula of these quaternions.
∗. Engin¨OZKAN, M. Uysal
semanticscholar   +1 more source

Generalization of Gaussian Mersenne numbers and their new families

Mathematics and Computer Science
In this article, we present the generalized Gaussian Mersenne numbers with arbitrary initial values and discuss two particular cases, namely, Gaussian Mersenne and Gaussian Mersenne-Lucas numbers.
Munesh Kumari, K. Prasad, J. Tanti
semanticscholar   +1 more source

On Leonardo Pisano dual quaternions

Journal of Information and Optimization Sciences
In this work, firstly we introduce the Leonardo Pisano dual quaternions combining Leonardo Pisano numbers and dual quaternions. Then we examine some fundamental properties and identities of the Leonardo Pisano dual quaternions, such as recurrence ...
A. Dağdeviren, Ferhat Kürüz, Paula Catarino   +2 more
semanticscholar   +1 more source

Narayana’s integer sequence revisited

Mathematical Gazette
An essential feature of the Fibonacci sequence (Fn): 1, 1, 2, 3, 5, 8, … is an explicit expression for its nth term Fn (Binet’s formula) and the corollary that is the golden ratio and {x} is the nearest integer to x.
T. Crilly
semanticscholar   +1 more source

On the Generalized Francois Numbers

Turkish journal of mathematics & computer science
This study introduces the generalized Francois numbers and investigates their some properties. In addition, we give the basic formulas such as Binet's formula, sums formulas.
Yasemin Alp
semanticscholar   +1 more source

NEW GENERALIZATION OF CHEBYSHEV-LIKE POLYNOMIALS AND THEIR APPLICATIONS

South East Asian Journal of Mathematics and Mathematical Sciences
This study is focused on the development of a new generalized version of four known types of Chebyshev polynomials. We come up with four different kind of generalized Chebyshev polynomials using a modified recurrence relationship with different starting ...
Pankaj Pandey, Anu Verma
semanticscholar   +1 more source

Gaussian Quaternion Involving Leonardo Numbers

Sarajevo Journal of Mathematics
In this study, using the Leonardo numbers, we define a new type of quaternion that is called a Leonard Gaussian quaternion. We also give a negative-Leonardo Gaussian quaternion. These numbers are introduced from the set of complex numbers and quaternions.
Hasan Gökbaş
semanticscholar   +1 more source

Fibonacci Polynomials and It’s Generalization

Mikailalsys Journal of Mathematics and Statistics
This article explores the definition, properties, and generalizations of Fibonacci polynomials, providing a comprehensive understanding of their mathematical significance.
Nand Kishor Kumar, S.K. Sahani
semanticscholar   +1 more source