Results 131 to 140 of about 1,044,414 (185)

Binet’s Formula Generalized

The Fibonacci Quarterly, 1977
A. K. Whitford
semanticscholar   +3 more sources

A Generalization of Binet’s Formula and Some of Its Consequences

The Fibonacci Quarterly, 1989
Darío Castellanos
semanticscholar   +2 more sources

Dirichlet Convolution and the Binet Formula

2023
Summary: The main aim of this note is to show that the set of closed triples of generalized Fibonacci arithmetic functions under the Dirichlet convolution is a singleton set. This unique Dirichlet convolution identity is the Binet Fibonacci number formula in terms of arithmetic functions and the Dirichlet convolution.
Schwab, Emil Daniel, Schwab, Gabriela
openaire   +2 more sources

Stirling’s Original Asymptotic Series from a Formula Like One of Binet’s and its Evaluation by Sequence Acceleration

Experimental Mathematics, 2018
We give an apparently new proof of Stirling’s original asymptotic formula for the behavior of for large z. Stirling’s original formula is not the formula widely known as “Stirling’s formula”, which was actually due to De Moivre.
Robert M Corless, Leili Rafiee Sevyeri
semanticscholar   +1 more source

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

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

Quantum m*n-matrices and q-deformed Binet-Cauchy formula

Journal of Physics A: Mathematical and General, 1991
Summary: Quantum multiplicative matrices of size \(m\times n\) are introduced and studied. The \(q\)-generalization of the Binet-Cauchy formula is found.
openaire   +2 more sources

Leonardo Numbers and their Bicomplex Extension

Nepal Journal of Mathematical Sciences
This paper introduces a new type of Leonardo numbers, referred to as bicomplex Leonardoi numbers. Also, some important relations, including the generating function, Binet's formula, D'Ocagne's identity, Cassini’s identity, and Catalan’s identity ...
M. Jaiswal, N. Pahari, Purushottam Parajuli   +2 more
semanticscholar   +1 more source

A New Perspective On Hyper Dual Fibonnaci And Hyper Dual Lucas Numbers

Turkish journal of mathematics & computer science
In this paper, we introduction hyper dual numbers with hyper dual Fibonacci and Lucas number coefficients . Firstly, we obtained for these new number recurrence relation and Binet’s formula.
Murat Turan, Sıddıka Özkaldı Karakuş   +1 more
semanticscholar   +1 more source

Binet type formula for Tribonacci sequence with arbitrary initial numbers

Chaos, Solitons & Fractals, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source