Results 11 to 20 of about 10,580,440 (338)

On quaternions with generalized Fibonacci and Lucas number components

, 2015
In this paper, we give the exponential generating functions for the generalized Fibonacci and generalized Lucas quaternions, respectively. Moreover, we give some new formulas for binomial sums of these quaternions by using their Binet forms.
Emrah Polatlı, Seyhun Kesim
openalex   +2 more sources

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

Quaestiones Mathematicae
13 pages.
Aureliano M. Robles-Pérez, J. C. Rosales   +1 more
openalex   +3 more sources

Some Properties of (p, q) - Lucas Number

, 2016
In this paper, we consider the generalized Lucas sequence which is the (p, q) Lucas sequence. Then we used the Binet’s formula to show some properties of the (p, q) Lucas number. We get some generalized identities of the (p, q) Lucas number.
Alongkot Suvarnamani
openalex   +3 more sources

Data Hiding Technique using Catalan-Lucas Number Sequence

, 2017
In this paper, a novel data hiding technique is proposed which is an improvement over an existing data hiding techniques. Generally, a pixel intensity value of an image is represented by 8-bit binary sequence.
Shilpa Pund-Dange, Chitra Desai
openalex   +3 more sources

Diophantine equations with Lucas and Fibonacci number coefficients

Notes on Number Theory and Discrete Mathematics
Fibonacci and Lucas numbers are special number sequences that have been the subject of many studies throughout history due to the relations they provide.
Cemil Karaçam, Alper Vural, Bilal Aytepe, Ferhat Yıldız   +3 more
openalex   +2 more sources

Multiple extensions of a finite Euler's pentagonal number theorem and the Lucas formulas [PDF]

, 2007
Motivated by the resemblance of a multivariate series identity and a finite analogue of Euler's pentagonal number theorem, we study multiple extensions of the latter formula.
Victor J. W. Guo, Jiang Zeng
openalex   +3 more sources

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

MATEMATIKA, 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

Communications 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

Communications 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

Edge General Position Sets in Fibonacci and Lucas Cubes [PDF]

Bulletin of the Malaysian Mathematical Sciences Society, 2023
A set of edges X⊆E(G)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$X ...
S. Klavžar, E. Tan
semanticscholar   +1 more source