Results 31 to 40 of about 1,121 (104)
Generalized Fibonacci Numbers and Blackwell's Renewal Theorem
, 2010 We investigate a connection between generalized Fibonacci numbers and renewal theory for stochastic processes. Using Blackwell's renewal theorem we find an approximation to the generalized Fibonacci numbers.
Asmussen +9 more
core +1 more source
One-Parameter Generalization of Dual-Hyperbolic Jacobsthal Numbers
Annales Mathematicae Silesianae, 2023 In this paper, we introduce one-parameter generalization of dual-hyperbolic Jacobsthal numbers – dual-hyperbolic r-Jacobsthal numbers. We present some properties of them, among others the Binet formula, Catalan, Cassini, and d’Ocagne identities. Moreover,
Bród Dorota +2 more
doaj +1 more source
On perfect powers that are sums of two Fibonacci numbers
, 2017 We study the equation $F_n + F_m = y^p$, where $F_n$ and $F_m$ are respectively the $n$-th and $m$-th Fibonacci numbers and $p \ge 2$.
Luca, Florian, Patel, Vandita
core +1 more source
Narayana Numbers With Zeckendorf Partition in Two Terms
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The Narayan’s cow sequence starts with the terms 1, 1, and 1. Each subsequent term is obtained as the sum of the previous term and the term three places before. A term of this sequence is called a Narayana number. The mathematician Zeckendorf proved that every positive integer has a unique decomposition into a sum of distinct and nonconsecutive ...
Japhet Odjoumani +2 more
wiley +1 more source
Identities Arising from Binomial-Like Formulas Involving Divisors of Numbers
Annales Mathematicae Silesianae, 2023 In this article, we derive a great number of identities involving the ω function counting distinct prime divisors of a given number n. These identities also include Pochhammer symbols, Fibonacci and Lucas numbers and many more.
Gryszka Karol
doaj +1 more source
On the sum of a prime and a Fibonacci number
, 2010 We show that the set of the numbers that are the sum of a prime and a Fibonacci number has positive lower asymptotic ...
Lee, K. S. Enoch
core +1 more source
Copper Lacus Sequence Spaces Associated With Operator Ideals and Their Geometric Properties
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this research, we introduce the regular Copper Lucas matrix operator, which is based on the Copper Lucas sequence. We investigate the sequence spaces c0(Γ) and c(Γ), as well as lpΓ for 1 ≤ p ≤ ∞, all of which are linked to the newly defined regular Copper Lucas matrix Γ.
Shiva Shah +4 more
wiley +1 more source
Generalised Binomial coefficients and Jarden's Theorem [PDF]
, 2013 We prove a stronger version of Jarden's Theorem for recurrence of powers of recursive functionsComment: A section (section 3) concerning the application of Jarden's Theorem is ...
Cheng Lien, Lang, Mong Lung Lang
core
On the Norms of Circulant and $r-$Circulant Matrices With the Hyperharmonic Fibonacci Numbers
, 2015 In this paper, we study norms of circulant and $r-$circulant matrices involving harmonic Fibonacci and hyperharmonic Fibonacci numbers.
Kizilateş, Can, Tuglu, Naim
core +1 more source
New convolved Fibonacci collocation procedure for the Fitzhugh–Nagumo non-linear equation
Nonlinear EngineeringThis article is dedicated to propose a spectral solution for the non-linear Fitzhugh–Nagumo equation. The proposed solution is expressed as a double sum of basis functions that are chosen to be the convolved Fibonacci polynomials that generalize the well-
Abd-Elhameed Waleed Mohamed +2 more
doaj +1 more source