Results 31 to 40 of about 268,283 (236)
On some identities for the DGC Leonardo sequence [PDF]
Notes on Number Theory and Discrete MathematicsIn this study, we examine the Leonardo sequence with dual-generalized complex (DGC) coefficients for 𝔭∈ℝ. Firstly, we express some summation formulas related to the DGC Fibonacci, DGC Lucas, and DGC Leonardo sequences.
Çiğdem Zeynep Yılmaz +1 more
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A Note on Incomplete Fibonacci-Lucas Relations
Symmetry, 2023 We define the incomplete generalized bivariate Fibonacci p-polynomials and the incomplete generalized bivariate Lucas p-polynomials. We study their recursive relations and derive an interesting relationship through their generating functions ...
Jingyang Zhong +2 more
semanticscholar +1 more source
'A difficult case' : Pacioli and Cardano on the Chinese Rings [PDF]
, 2017 The Chinese rings puzzle is one of those recreational mathematical problems known for several centuries in the West as well as in Asia. Its origin is diffcult to ascertain but is most likely not Chinese.
Heeffer, Albrecht, Hinz, Andreas M.
core +2 more sources
Stability Analysis of a Class of Higher Order Difference Equations
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 We consider the sufficient conditions for asymptotic stability and instability of certain higher order nonlinear difference equations with infinite delays in finite‐dimensional spaces. With the aid of the general comparison condition on the right‐hand side function fk(·), we generalize the stability and instability result.
Yuanyuan Liu, Fanwei Meng, Yonghui Xia
wiley +1 more source
Revista Thema, 2017 Este artigo aborda uma temática que proporciona uma perspectiva epistemológica não estática, atinente a um tópico ou ramo específico em Matemática, que representa uma das tendências que consubstanciam a evolução, generalização e sistematização do modelo ...
Francisco Regis Vieira Alves
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Boletim Cearense de Educação e História da Matemática, 2018 Neste artigo, como uma síntese de nossa pesquisa de dissertação de mestrado, na qual nos dedicamos a estudar a vida do matemático italiano Leonardo Fibonacci (1180 - 1250) e de uma de suas obras, o Liber Quadratorum (1225).
José dos Santos Guimarães Filho +1 more
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AIMS Mathematics, 2023 This paper introduced the concept of dual Leonardo numbers to generalize the earlier studies in harmony and establish key formulas, including the Binet formula and the generating function. Both were employed to obtain specific elements from the sequence.
Adnan Karataş
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On Skew Circulant Type Matrices Involving Any Continuous Fibonacci Numbers
Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014 Circulant and skew circulant matrices have become an important tool in networks engineering. In this paper, we consider skew circulant type matrices with any continuous Fibonacci numbers. We discuss the invertibility of the skew circulant type matrices and present explicit determinants and inverse matrices of them by constructing the transformation ...
Zhaolin Jiang +3 more
wiley +1 more source
On $ 3 $-parameter generalized quaternions with higher order Leonardo numbers components
Electronic Research ArchiveIn this paper, a novel type of $ 3 $-parameter generalized quaternions ($ 3 $ -PGQs) is introduced, constructed from higher order Leonardo numbers and referred to as the higher order Leonardo $ 3 $-parameter generalized quaternions (shortly, higher order
Kübra GÜL
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The Fibonacci sequence and the nature of mathematical discovery: A semiotic perspective
Sign Systems Studies, 2005 This study looks at the relation between mathematical discovery and semiosis, focusing on the famous Fibonacci sequence. The serendipitous discovery of this sequence as the answer to a puzzle designed by Italian mathematician Leonardo Fibonacci to ...
Marcel Danesi
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