Results 1 to 10 of about 472 (72)

The Third Order Jacobsthal Octonions: Some Combinatorial Properties

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018
Various families of octonion number sequences (such as Fibonacci octonion, Pell octonion and Jacobsthal octonion) have been established by a number of authors in many di erent ways.
Cerda-Morales Gamaliel
doaj   +2 more sources

On Generalized Third-Order Jacobsthal Numbers

Asian Research Journal of Mathematics, 2021
In this paper, we investigate the generalized third order Jacobsthal sequences and we deal with, in detail, four special cases, namely, third order Jacobsthal, third order Jacobsthal-Lucas, modified third order Jacobsthal, third order Jacobsthal Perrin sequences.
Evren Eyican Polatlı, Yüksel Soykan
openaire   +3 more sources

On New Polynomial Sequences Constructed to Each Vertex in an n‐Gon

Discrete Dynamics in Nature and Society, Volume 2022, Issue 1, 2022., 2022
In this work, we bring to light the properties of newly formed polynomial sequences at each vertex of Pell polynomial sequences placed clockwise at each vertex in the n‐gon. We compute the relation among the polynomials with such vertices. Moreover, in an n‐gon, we generate a recurrence relation for a sequence giving the mth term formed at the kth ...
Abdul Hamid Ganie, Engin ŏzkan, Mine Uysal, Afroza Akhter, Ya Jia   +4 more
wiley   +1 more source

On generalized bihyperbolic third-order Jacobsthal polynomials [PDF]

Mathematica Bohemica
A new generalization of third-order Jacobsthal bihyperbolic polynomials is introduced. Some of the properties of presented polynomials are given. A general Vajda formula for the generalized bihyperbolic third-order Jacobsthal polynomials is obtained ...
Gamaliel Cerda-Morales
doaj   +1 more source

Ruler Portraits and Ruler Cult in the Pergamon Gymnasion [PDF]

, 2018
Zu Bildnisstatuen attalidischer Könige im Gymnasion von Pergamon besitzen wir vielfältige archäologische und epigraphische Zeugnisse. Systematisch wurden aber die Zusammenhängedieser unterschiedlichen Zeugnisgruppen bisher nicht untersucht.
Hoff, Ralf von den
core   +1 more source

Non-Fisherian generalized Fibonacci numbers [PDF]

Notes on Number Theory and Discrete Mathematics
Using 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

Intermediate arithmetic operations on ordinal numbers [PDF]

, 2017
There are two well-known ways of doing arithmetic with ordinal numbers: the "ordinary" addition, multiplication, and exponentiation, which are defined by transfinite iteration; and the "natural" (or Hessenberg) addition and multiplication (denoted ...
Altman, Harry
core   +1 more source

A Linear Functional Equation of Third Order Associated with the Fibonacci Numbers

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
Given a vector space X, we investigate the solutions f:R→X of the linear functional equation of third order f(x) = pf(x − 1) + qf(x − 2) + rf(x − 3), which is strongly associated with a well‐known identity for the Fibonacci numbers. Moreover, we prove the Hyers‐Ulam stability of that equation.
Soon-Mo Jung, Michael Th. Rassias, Jesús G. Falset   +2 more
wiley   +1 more source

Cyclotomic integers, fusion categories, and subfactors [PDF]

, 2010
Dimensions of objects in fusion categories are cyclotomic integers, hence number theoretic results have implications in the study of fusion categories and finite depth subfactors. We give two such applications.
A. Kirillov Jr, A.J. Jones, B. Poonen, B.H. Gross, C.J. Smyth, C.L. Siegel, D. Bisch, D. Tambara, Frank Calegari, H. Iwaniec, H.-J. Kanold, J. McKee, J.H. Conway, J.H. Loxton, J.W.S. Cassels, L. Kronecker, M. Asaeda, M. Asaeda, M. Asaeda, M. Izumi, Noah Snyder, P. Etingof, Scott Morrison, V. Ostrik, V.F.R. Jones   +24 more
core   +4 more sources

Complex Factorizations of the Lucas Sequences via Matrix Methods

Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014
Firstly, we show a connection between the first Lucas sequence and the determinants of some tridiagonal matrices. Secondly, we derive the complex factorizations of the first Lucas sequence by computing those determinants with the help of Chebyshev polynomials of the second kind. Furthermore, we also obtain the complex factorizations of the second Lucas
Honglin Wu, Mehmet Sezer
wiley   +1 more source