Results 11 to 20 of about 2,057 (213)

Odd Fibonacci Stolarsky-3 Mean Labeling of Some Special Graphs

open access: yesRatio Mathematica, 2022
Let G be a graph with p vertices and q edges and an injective function  where each  is a odd Fibonacci number and the induced edge labeling  are defined by and all these edge labeling are distinct is called Odd Fibonacci Stolarsky-3 Mean Labeling.
M Sree Vidya, S.S Sandhya
doaj   +1 more source

Bi-Periodic (p,q)-Fibonacci and Bi-Periodic (p,q)-Lucas Sequences

open access: yesSakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2023
In this paper, we define bi-periodic (p,q)-Fibonacci and bi-periodic (p,q)-Lucas sequences, which generalize Fibonacci type, Lucas type, bi-periodic Fibonacci type and bi-periodic Lucas type sequences, using recurrence relations of (p,q)-Fibonacci and (p,
Yasemin Taşyurdu   +1 more
doaj   +1 more source

On the Inverse of a Fibonacci Number Modulo a Fibonacci Number Being a Fibonacci Number

open access: yesMediterranean Journal of Mathematics, 2023
Let $(F_n)_{n \geq 1}$ be the sequence of Fibonacci numbers. For all integers $a$ and $b \geq 1$ with $\gcd(a, b) = 1$, let $[a^{-1} \!\bmod b]$ be the multiplicative inverse of $a$ modulo $b$, which we pick in the usual set of representatives $\{0, 1, \dots, b-1\}$. Put also $[a^{-1} \!\bmod b] := \infty$ when $\gcd(a, b) > 1$.
openaire   +2 more sources

Some Properties of Fibonacci Numbers, Generalized Fibonacci Numbers and Generalized Fibonacci Polynomial Sequences [PDF]

open access: yesKyungpook mathematical journal, 2017
In this paper we study the Fibonacci numbers and derive some interesting properties and recurrence relations. We prove some charecterizations for $F_p$, where $p$ is a prime of a certain type. We also define period of a Fibonacci sequence modulo an integer, $m$ and derive certain interesting properties related to them.
Alexandre Laugier, Manjil P. Saikia
openaire   +4 more sources

On Generalized Fibonacci Numbers

open access: yesCommunications in Advanced Mathematical Sciences, 2020
Fibonacci numbers and their polynomials have been generalized mainly by two ways: by maintaining the recurrence relation and varying the initial conditions, and by varying the recurrence relation and maintaining the initial conditions. In this paper, we introduce and derive various properties of $r$-sum Fibonacci numbers.
Fidel ODUOL, Isaac Owino OKOTH
openaire   +4 more sources

A weighted extension of Fibonacci numbers

open access: yesJournal of Difference Equations and Applications, 2023
14 pages, comments ...
Bhatnagar, Gaurav   +2 more
openaire   +3 more sources

New Properties and Identities for Fibonacci Finite Operator Quaternions

open access: yesMathematics, 2022
In this paper, with the help of the finite operators and Fibonacci numbers, we define a new family of quaternions whose components are the Fibonacci finite operator numbers. We also provide some properties of these types of quaternions.
Nazlıhan Terzioğlu   +2 more
doaj   +1 more source

Hyperbolic Fibonacci Sequence

open access: yesUniversal Journal of Mathematics and Applications, 2019
In this paper, we investigate the hyperbolic Fibonacci sequence and the hyperbolic Fibonacci numbers. Furthermore, we give recurrence relations, the golden ratio and Binet's formula for the hyperbolic Fibonacci sequence and Lorentzian inner product ...
Fügen Torunbalcı Aydın
doaj   +1 more source

Shifted Fibonacci Numbers

open access: yesAfyon Kocatepe University Journal of Sciences and Engineering, 2023
Shifted Fibonacci numbers have been examined in the literature in terms of the greatest common divisor, but appropriate definitions and fundamental equations have not been worked on. In this article, we have obtained the Binet formula, which is a fundamental equation used to obtain the necessary element of the shifted Fibonacci number sequence ...
openaire   +5 more sources

On the harmonic and hyperharmonic Fibonacci numbers [PDF]

open access: yesAdvances in Difference Equations, 2015
In this paper, we study the theory of the harmonic and the hyperharmonic Fibonacci numbers. Also, we get some combinatoric identities like as harmonic and hyperharmonic numbers and we obtain some useful formulas for $\mathbb{F}_{n}$, which is finite sums of reciprocals of Fibonacci numbers.
KESİM, SEYHUN   +2 more
openaire   +6 more sources

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