Results 21 to 30 of about 24,521 (128)

On a Generalization of Incomplete Fibonacci Quaternions

The Journal of the Indian Mathematical Society, 2021
The aim of this article is to introduce a new class of quater- nions, namely, incomplete Horadam quaternions that are based on in- complete Horadam numbers which generalize the previously introduced incomplete Fibonacci and Lucas quaternions. Further, some identities including summation formulas and generating functions concerning these quaternions are
Bijan Kumar Patel, Narmada Behera
openaire   +2 more sources

SOME PROPERTIES OF BIVARIATE FIBONACCI AND LUCAS QUATERNION POLYNOMIALS [PDF]

, 2020
In this work, we introduce bivariate Fibonacci quaternion polynomials andbivariate Lucas quaternion polynomials. We present generating function,Binet formula, matrix representation, binomial formulas and some basicidentities for the bivariate Fibonacci ...
Ozturk, Arzu Ozkoc, Özkoç Öztürk, Arzu, Kaplan, Faruk   +2 more
core   +1 more source

There are no multiply-perfect Fibonacci numbers [PDF]

, 2011
Here, we show that no Fibonacci number (larger than 1) divides the sum of its ...
Lewis, Ryan H., Togbe, Alain, Kevin A. Broughan, Huguet, V. Janitzio Mejia, Marcos J. González, Broughan, Kevin A., Luca, Florian, V. Janitzio Mejía Huguet, Ryan H. Lewis, Alain Togbé, Gonzalez, Marcos J., Florian Luca   +11 more
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On the (p,q)-fibonacci quaternion and octonion polynomials [PDF]

, 2021
Bu tez beş bölümden oluşmaktadır. Birinci bölümde giriş kısmına yer verilmiştir. İkinci bölümde, önbilgiler ve diğer bölümlerde kullanılacak olan temel tanım ve teoremler verilmiştir. Üçüncü bölümde, (p,q)-Fibonacci ve (p,q)-Lucas kuaterniyon polinomları
Porsuk, Ayhan
core   +2 more sources

Endotrivial modules over groups with quaternion or semi-dihedral Sylow 2-subgroup. [PDF]

, 2013
Let G be a finite group with a Sylow 2-subgroup P which is either quaternion or semi-dihedral. Let k be an algebraically closed field of characteristic 2.
Mazza, Nadia, Thévenaz, Jacques, Carlson, Jon   +2 more
core   +4 more sources

Super Fibonacci Graceful Labeling of Some Special Class of Graphs [PDF]

, 2011
A Fibonacci graceful labeling and a super Fibonacci graceful labeling on graphs were introduced by Kathiresan and Amutha in ...
Sridevi, R., Navaneethakrishnan, S., Nagarajan, K.   +2 more
core   +1 more source

New summation identities of hyperbolic k-Fibonacci and k-Lucas quaternions [PDF]

Notes on Number Theory and Discrete Mathematics
In this paper, we introduce a set of identities involving hyperbolic k-Fibonacci quaternions and k-Lucas quaternions. Moreover, we derive summation identities for hyperbolic k-Fibonacci and k-Lucas quaternions by utilizing established properties of k ...
A. D. Godase
doaj   +1 more source

On the 2k-step Jordan-Fibonacci sequence

Advances in Difference Equations, 2017
In this paper, we define the 2k-step Jordan-Fibonacci sequence, and then we study the 2k-step Jordan-Fibonacci sequence modulo m. Also, we obtain the cyclic groups from the multiplicative orders of the generating matrix of the 2k-step Jordan-Fibonacci ...
Omur Deveci, Sait Taş, A Kılıçman
doaj   +1 more source

Generalized commutative quaternion polynomials of the Fibonacci type [PDF]

, 2023
Generalized commutative quaternions is a number system which generalizes elliptic, parabolic and hyperbolic quaternions, bicomplex numbers, complex hyperbolic numbers and hyperbolic complex numbers.
Iwona Włoch, Szynal-Liana, Anetta, Liana, Mirosław, Mirosław Liana, Włoch, Iwona, Anetta Szynal-Liana   +5 more
core   +1 more source

SOME CONNECTIONS BETWEEN THE SMARANDACHE FUNCTION AND THE FIBONACCI SEQUENCE [PDF]

, 2013
This paper is aimed to provide generalizations of the Smarandache function. They will be constructed by means of sequences more general than the sequence of the factorials.
Dunutrescu, C., Rocsoreanu, C.
core   +1 more source