Results 71 to 80 of about 394,323 (159)
Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials
MathematicsIn this paper, by using the Golden Calculus, we introduce the generalized Apostol-type Frobenius–Euler–Fibonacci polynomials and numbers; additionally, we obtain various fundamental identities and properties associated with these polynomials and numbers,
Maryam Salem Alatawi +3 more
doaj +1 more source
On a variant of Pillai's problem involving S-units and Fibonacci numbers. [PDF]
Bol Soc Mat Mex, 2022 Ziegler V.
europepmc +1 more source
Fibonacci Modules and Multiple Fibonacci Sequences [PDF]
arXiv, 2008 Double Fibonacci sequences are introduced and they are related to operations with Fibonacci modules. Generalizations and examples are also discussed.
arxiv
The Fibonacci numbers of certain subgraphs of circulant graphs
AKCE International Journal of Graphs and Combinatorics, 2015 The Fibonacci number ℱ(G) of a graph G with vertex set V(G), is the total number of independent vertex sets S⊂V(G); recall that a set S⊂V(G) is said to be independent whenever for every two different vertices u,v∈S there is no edge between them.
Loiret Alejandría Dosal-Trujillo +1 more
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On the spectra of generalized Fibonacci and Fibonacci-like operators [PDF]
Operators and Matrices, Volume 6, Number 1 (2012) 49-62, 2011 We analyze the spectra of generalized Fibonacci and Fibonacci-like operators in Banach space $l^1$. Some of the results have application in population dynamics.
arxiv
3x3 Dimensional Special Matrices Associated with Fibonacci and Lucas Numbers
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2018 In the study, it has been developed a method for deriving special matrices of 3x3 dimensions, whose powers are related to Fibonacci and Lucas numbers, and some special matrices have been found via the method developed.
Sinan Karakaya +2 more
doaj +1 more source
On Gaussian Leonardo numbers [PDF]
Contributions to Mathematics, 2023 Dursun Taşcı
doaj +1 more source
Number of Compositions and Convolved Fibonacci numbers [PDF]
arXiv, 2010 We consider two type of upper Hessenberg matrices which determinants are Fibonacci numbers. Calculating sums of principal minors of the fixed order of the first type leads us to convolved Fibonacci numbers. Some identities for these and for Fibonacci numbers are proved.
arxiv
On the Products of k-Fibonacci Numbers and k-Lucas Numbers
International Journal of Mathematics and Mathematical Sciences, 2014 In this paper we investigate some products of k-Fibonacci and k-Lucas numbers. We also present some generalized identities on the products of k-Fibonacci and k-Lucas numbers to establish connection formulas between them with the help of Binet's formula.
Bijendra Singh +2 more
doaj +1 more source
Investigation of Generalized Hybrid Fibonacci Numbers and Their Properties [PDF]
arXiv, 2018 In \cite{Oz}, M. \"Ozdemir defined a new non-commutative number system called hybrid numbers. In this paper, we define the hybrid Fibonacci and Lucas numbers. This number system can be accepted as a generalization of the complex ($\textbf{i}^{2}=-1$), hyperbolic ($\textbf{h}^{2}=1$) and dual Fibonacci number ($\varepsilon^{2}=0$) systems.
arxiv