Results 71 to 80 of about 3,828 (164)

Some Properties of Generalized Apostol-Type Frobenius–Euler–Fibonacci Polynomials

Mathematics
In 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, Waseem Ahmad Khan, Can Kızılateş, Cheon Seoung Ryoo   +3 more
doaj   +1 more source

On $k$-Fibonacci balancing and $k$-Fibonacci Lucas-balancing numbers

, 2021
Salah Eddine Rihane
openalex   +2 more sources

Generalized Natural Density DF⁡(Fk) of Fibonacci Word

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
This paper explores profound generalizations of the Fibonacci sequence, delving into random Fibonacci sequences, k-Fibonacci words, and their combinatorial properties.
Abdullah, D., Hamoud, J.
doaj   +1 more source

Some Identities of Harmonic and Hyperharmonic Fibonacci Numbers

, 2021
Miraç ÇETİN, Can Kızılateş, Fatma YEŞİL BARAN, Naim Tuğlu   +3 more
openalex   +2 more sources

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, Kiran Sisodiya, Farooq Ahmad   +2 more
doaj   +1 more source

On a Matrix Formulation of the Sequence of Bi-Periodic Fibonacci Numbers

Axioms
In this study, we investigate some new properties of the sequence of bi-periodic Fibonacci numbers with arbitrary initial conditions, through an approach that combines the matrix aspect and the fundamental Fibonacci system.
Mustapha Rachidi, Elen V. P. Spreafico, Paula Catarino   +2 more
doaj   +1 more source

Edge-Disjoint Fibonacci Trees in Hypercube

Journal of Computer Networks and Communications, 2014
The Fibonacci tree is a rooted binary tree whose number of vertices admit a recursive definition similar to the Fibonacci numbers. In this paper, we prove that a hypercube of dimension h admits two edge-disjoint Fibonacci trees of height h, two edge ...
Indhumathi Raman, Lakshmanan Kuppusamy
doaj   +1 more source

Link between Hosoya index and Fibonacci numbers [PDF]

, 2018
Hacène Belbachir, Hakim Harik
openalex   +1 more source

Sums of Powers Over Equally Spaced Fibonacci Numbers [PDF]

, 2020
Helmut Prodinger
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A Note On Bicomplex Fibonacci and Lucas Numbers [PDF]

, 2015
Semra Kaya Nurkan, İlkay Arslan Güven
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