Results 1 to 10 of about 1,654,498 (260)
On dual and hyper-dual $k$-Leonardo numbers [PDF]
Mathematica BohemicaWe describe new classes of dual and hyper-dual numbers whose coefficients consist of the $k$-Leonardo numbers. We will call these numbers dual $k$-Leonardo numbers and hyper-dual $k$-Leonardo numbers, respectively.
Tülay Yağmur
doaj +3 more sources
Some Properties of the Generalized Leonardo Numbers
Journal of New TheoryIn this study, various properties of the generalized Leonardo numbers, which are one of the generalizations of Leonardo numbers, have been investigated. Additionally, some identities among the generalized Leonardo numbers have been obtained. Furthermore,
Yasemin Alp
doaj +3 more sources
Pell Leonardo numbers and their matrix representations
Journal of New Results in ScienceIn this study, we investigate Pell numbers and Leonardo numbers and describe a new third-order number sequence entitled Pell Leonardo numbers. We then construct some identities, including the Binet formula, generating function, exponential generating ...
Çağla Çelemoğlu
doaj +3 more sources
Bivariate Leonardo polynomials and Riordan arrays [PDF]
Notes on Number Theory and Discrete MathematicsIn this paper, bivariate Leonardo polynomials are defined, which are closely related to bivariate Fibonacci polynomials. Bivariate Leonardo polynomials are generalizations of the Leonardo polynomials and Leonardo numbers.
Yasemin Alp, E. Gökçen Koçer
doaj +1 more source
On New Banach Sequence Spaces Involving Leonardo Numbers and the Associated Mapping Ideal
Journal of Function Spaces, 2022 In the present study, we have constructed new Banach sequence spaces ℓpL,c0L,cL, and ℓ∞L, where L=lv,k is a regular matrix defined by lv,k=lk/lv+2−v+2, 0≤k≤v,0, k>v, for all v,k=0,1,2,⋯, where l=lk is a sequence of Leonardo numbers.
Taja Yaying +3 more
doaj +1 more source
Results in Physics, 2022 This work deals with a numerical analysis of a Complex Lorenz system generalized by the truncated M-derivative (M-ℂLM). First, we carry out 10000 random simulations based on the Monte Carlo principle and the 0–1 test with the chaos decision tree to show ...
J.E. Solís-Pérez +3 more
doaj +1 more source
Non-Fisherian generalized Fibonacci numbers [PDF]
Notes on Number Theory and Discrete MathematicsUsing biology as inspiration, this paper explores a generalization of the Fibonacci sequence that involves gender biased sexual reproduction. The female, male, and total population numbers along with their associated recurrence relations are considered ...
Thor Martinsen
doaj +1 more source
The First Study of Mersenne--Leonardo Sequence
Communications in Advanced Mathematical SciencesIn this study, we introduce a new class of numbers, referred to as Modified Mersenne--Leonardo numbers. The aim of this paper is to define the Modified Mersenne--Leonardo sequence and investigate some of its properties, including the recurrence relation,
Paula Maria Machado Cruz Catarino +1 more
doaj +1 more source
منظومة فيبوناتشى الرقمية کمصدر رياضي لإثراء التصميم [PDF]
المجلة العلمية لكلية التربية النوعية - جامعة المنوفية, 2017 إن التوجه للبحث عن مرجعيات ومصادر للمعرفة تتميز بالأصالة وتضاف الى المخزون المرجعي للمصمم لتکون خلفيات فکرية ومنابع معرفة والهام يعد من أهم الإشکاليات التصميمية فعملية التصميم متجددة ومتطورة وتتزامن مع متطلبات العصر من تحديث وتغيير وبالتالي وجب البحث في ...
اسلام محمد السيد هيبة
doaj +1 more source
On Generalized Metallic Leonardo Numbers: Silver, Bronze, and Copper Cases
Universal Journal of Mathematics and ApplicationsIn this article, we discuss three new extensions of the Leonardo numbers in a generalized way, which we call the generalized Silver, Bronze, and Copper Leonardo numbers that converge to the Silver, Bronze, and Copper ratios, unifying existing metallic ...
Munesh Kumari +2 more
doaj +1 more source