Results 11 to 20 of about 975,787 (327)

The extended Frobenius problem for Lucas series incremented by a Lucas number [PDF]

open access: greenQuaestiones Mathematicae
13 pages.
Aureliano M. Robles-Pérez   +1 more
openalex   +3 more sources

A note on Fibonacci and Lucas number of domination in path [PDF]

open access: diamondElectronic Journal of Graph Theory and Applications, 2018
Let G = (V(G), E(G)) be a path of order n ≥ 1. Let fm(G) be a path with m ≥ 0 independent dominating vertices which follows a Fibonacci string of binary numbers where 1 is the dominating vertex.
Leomarich F Casinillo
doaj   +2 more sources

Some new properties of Lucas-balancing and Lucas-cobalancing number

open access: goldMATEMATIKA, 2017
In recent year Panda and Behera introduced new integer sequnce called Balancing number. Panda and Ray modified integer sequnce to cobalancing number. Panda introduced corresponding Lucas-Balancing and cobalancing number. In this paper we insvestigate some new properties of lucas balancing and lucas cobalancing Number.
Shekh Mohammed Zahid
openalex   +4 more sources

On Bicomplex Pell and Pell-Lucas Numbers

open access: yesCommunications in Advanced Mathematical Sciences, 2018
In this paper, bicomplex Pell and bicomplex Pell-Lucas numbers are defined. Also, negabicomplex Pell and negabicomplex Pell-Lucas numbers are given. Some algebraic properties of bicomplex Pell and bicomplex Pell-Lucas numbers which are connected between ...
Fügen Torunbalcı Aydın
doaj   +4 more sources

On Some Properties of Bihyperbolic Numbers of The Lucas Type

open access: yesCommunications in Advanced Mathematical Sciences, 2023
To date, many authors in the literature have worked on special arrays in various computational systems. In this article, Lucas type bihyperbolic numbers were defined and their algebraic properties were examined. Bihyperbolic Lucas numbers were studied by
Fügen Torunbalcı Aydın
doaj   +1 more source

Exact divisibility by powers of the integers in the Lucas sequences of the first and second kinds

open access: yesAIMS Mathematics, 2021
Lucas sequences of the first and second kinds are, respectively, the integer sequences $ (U_n)_{n\geq0} $ and $ (V_n)_{n\geq0} $ depending on parameters $ a, b\in\mathbb{Z} $ and defined by the recurrence relations $ U_0 = 0 $, $ U_1 = 1 $, and $ U_n ...
Kritkhajohn Onphaeng   +1 more
doaj   +1 more source

Impact of flexible noise control (FNC) image processing parameters on portable chest radiography

open access: yesJournal of Applied Clinical Medical Physics, Volume 23, Issue 12, December 2022., 2022
Abstract There is a lack of understanding in the performance of flexible noise control (FNC) processing, which is used in digital radiography on a scanner vendor and has four parameters each involving multiple options. The aim of this study was to investigate the impact of FNC on portable chest imaging. An anthropomorphic chest phantom was imaged using
Krystal M. Kirby   +6 more
wiley   +1 more source

Construction of dual-generalized complex Fibonacci and Lucas quaternions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
The aim of this paper is to construct dual-generalized complex Fibonacci and Lucas quaternions. It examines the properties both as dual-generalized complex number and as quaternion. Additionally, general recurrence relations, Binet's formulas, Tagiuri's (
G.Y. Şentürk, N. Gürses, S. Yüce
doaj   +1 more source

A generalization of Lucas sequence and associated identities

open access: yesBoletim da Sociedade Paranaense de Matemática, 2022
In this paper, we attempt to generalize Lucas sequence by generating certain number of sequences whose terms are obtained by adding the last two generated terms of the preceding sequence.
Neeraj Kumar Paul, Helen K. Saikia
doaj   +1 more source

Exact divisibility by powers of the integers in the Lucas sequence of the first kind

open access: yesAIMS Mathematics, 2020
Lucas sequence of the first kind is an integer sequence $(U_n)_{n\geq0}$ which depends on parameters $a,b\in\mathbb{Z}$ and is defined by the recurrence relation $U_0=0$, $U_1=1$, and $U_n=aU_{n-1}+bU_{n-2}$ for $n\geq2$. In this article, we obtain exact
Kritkhajohn Onphaeng   +1 more
doaj   +1 more source

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