Results 91 to 100 of about 613 (205)
Fibonacci Numbers Related to Some Subclasses of Bi‐Univalent Functions
International Journal of Mathematics and Mathematical Sciences, Volume 2024, Issue 1, 2024.This research paper introduces the novel subclass ϒΣϑ,β,μq˜ of bi‐univalent functions that are connected to Fibonacci numbers. Our main contributions in this study involve establishing constraints on the absolute values of the second coefficient |a2| and the third coefficient |a3| for functions within this specific subclass.
Ala Amourah +4 more
wiley +1 more source
Powers in the Lucas sequence when the index is divisible by three
, 2011 In this paper the m-powers with m ≥ 2 included in the Lucas sequences when the index satisfies some conditions are ...
Rodrigo Hitos, Javier +1 more
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Lucas and Fibonacci numbers: properties and connections
, 2023 O propósito deste trabalho é estudar as sequências de Fibonacci e de Lucas, explorando suas co-relações e semelhanças no contexto da Teoria dos Números. Para isso, utilizaremos como principal ferramenta o desenvolvimento teórico, através de demonstrações
Oliveira, Josué de Carvalho
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On repdigits as product of $k$-Fibonacci and $k$-Lucas numbers [PDF]
Mathematica BohemicaFor an integer $k\geq2$, let $(F_n^{(k)})_{n\geq-(k-2)}$, $(L_n^{(k)})_{n \geq-(k-2)}$ be $k$-Fibonacci and $k$-Lucas sequences, respectively. For these sequences the first $k$ terms are $0,\ldots,0,1$ and $0,\ldots,0,2,1$, respectively, and each term ...
Safia Seffah +2 more
doaj +1 more source
Journal of Mathematics, Volume 2024, Issue 1, 2024.One important algebraic invariant in networks is complexity. This invariant ensures the accuracy and dependability of the network. In this paper, we employ a combinatorial approach to determine the graph’s complexity. A fundamental set of building blocks (basic graphs) will serve as the foundation for all the graphs we investigate, after which we will ...
Mohamed R. Zeen El Deen +3 more
wiley +1 more source
Determinant Representations of Sequences: A Survey
Special Matrices, 2014 This is a survey of recent results concerning (integer) matrices whose leading principal minors are well-known sequences such as Fibonacci, Lucas, Jacobsthal and Pell (sub)sequences. There are different ways for constructing such matrices.
Moghaddamfar A. R. +2 more
doaj +1 more source
An algorithm for complex factorization of the bi-periodic Fibonacci and Lucas polynomials [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, we consider the factorization of generalized sequences, by employing a method based on trigonometric identities. The new method is of reduced complexity and represents an improvement compared to existing results.
Baijuan Shi, Can Kızılateş
doaj +1 more source
Fibonacci and Lucas matrix sequences and their properties
, 2009 Bu çalışmada, Fibonacci ve Lucas matris dizileri tanımlanmıştır ve Fibonacci matris dizisinin genelleştirilmiş Fibonacci sayı dizisi ile; Lucas matris dizisinin de genelleştirilmiş Lucas sayı dizisi ile olan ilişkileri elde edilmiştir.Fibonacci ve Lucas ...
Civciv, Hacı
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Fibonacci numbers and Lucas numbers
, 2016 Neste trabalho, exploramos os números de Fibonacci e de Lucas. A maioria dos resultados históricos sobre esses números são apresentados e provados. Ao longo do texto, um grande número de identidades a respeito dos números de Fibonacci e de Lucas são ...
Silva, Bruno Astrolino e
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Fibonacci-Like sequence associated with k-Pell, k-Pell-Lucas and Modified k-Pell sequences [PDF]
, 2017 Fibonacci sequence is a well known example of second order linear recurrence relatio. Besides Fibonacci numbers and their generalizations have many applications as well as interesting properties almost in every field of science such as in Physics ...
Wani, A. A. +5 more
core +1 more source