In recent years, many researchers have studied hyperbolic Fibonacci functions and some special polynomials, which are important areas of mathematics. In this study, we give an extension of the Euler polynomials in order ...
The study of higher-dimensional algebraic structures has gained significant attention in recent
years. Octonions, a normed division algebra with eight dimensions, have applications in fields such as
quantum logic, special ...
Complex numbers, hyperbolic numbers, and dual numbers are well-known number systems in the literature. The hybrid numbers, which have significantly increased interest in recent years, are the generalization of complex ...
Understanding the properties and applications of bihyperbolic polynomials sheds light on many mathematical problems. For this reason, bihyperbolic polynomials can play an important role in various fields of mathematics. ...
Bernoulli numbers and Bernoulli polynomials have been studied by many researchers recently, as they are widely used in mathematics, engineering and other disciplines. Hyperbolic functions are frequently observed in the ...
In this paper, Dirac notations are operated to find the Hamiltonian matrix with the eigenvector
basis for two and three-state cases, and its tensor product version with a change of basis.
In this paper, we generalize the known Gauss Pell-Lucas numbers, and call such
numbers as the generalized Gauss k-Pell-Lucas numbers. We obtain relations between
the family of the generalized Gauss k-Pell-Lucas numbers ...
In this paper, we introduce a new class of octonions. We define the Leonardo
octonions. Then, we obtain some algebraic properties of the Leonardo octonions
such as the generating function, Binet formula, some summation ...
Giriş: Dört elemanlı bir cisim w^2=w+1 olmak üzere F_4={0,1,w,w^2 } ile gösterilsin. n uzunluğunda
F_4 üzerindeki bir C toplamsal kodu, F_4^n toplamsal grubunun bir alt grubudur. C toplamsal kodunun
üreteç matrisi, ...
GF(q) denote the finite field with q elements. An [n,k,d] linear code C over
GF(q) is a k-dimensional subspace of GF(q) ^n with minimum (Hamming) distance d.
The vectors in C are codewords of C. Specially, codes over ...
We denote GF_4={0,1,w,w^2} where w^2=w+1. An additive code C over GF_4 of length n is an additive subgroup of GF_4^n . C contains 2^k codewords for some 0<=k<= 2n, and can be defined by a kxn generator matrix, with entries ...
The standart autocorrelation is used to measure the similarities between a binary sequence and its any shifted form. It has applications in communication systems and cryptography. Let a =(a_0,a_1,a_2,...,a_n-1) be a ...
In this article, we generalize the well-known Gauss Pell numbers and refer to them
as generalized Gauss k-Pell numbers. There are relationships discovered between the class of generalized Gauss k-Pell numbers and the ...
In this paper, we introduce additive Toeplitz codes over F4. The
additive Toeplitz codes are a generalization of additive circulant codes over F4.
We find many optimal additive Toeplitz codes (OATC) over F4. These ...
The standard autocorrelation measures similarities between a binary sequence and its any shifted form. In this paper, we introduce the concept
of the k-autocorrelation of a binary sequence as a generalization of the ...
The Hybrid numbers are generalization of complex, hyperbolic and dual numbers. In recent years, studies related with Hybrid numbers have increased significantly. Also, there are many studies interesting generalizations and ...
Köme, Sure(Turkish Journal of Mathematics and Computer Science, 2022)
In this paper, we introduce the Wilker-Anglesio’s inequality and parameterized Wilker inequality for the k-Fibonacci hyperbolic functions using classical analytical techniques
Köme, Cahit(Notes on Number Theory and Discrete Mathematics, 2021-10)
In this study, we investigate the connection between second order recurrence matrix and several combinatorial matrices such as generalized r-eliminated Pascal matrix, Stirling matrix of the first and of the second kind ...
Matrix factorizations have been widely used in recent years, especially in engineering problems, to facilitate performance-requiring computations. In this paper, we investigate some interesting relationships between some ...
Matrix methods are a useful tool while dealing with many problems stemming from linear recurrence relations. In this paper, we discuss factorizations and inverse factorizations of two kinds of generalized k-Fibonacci ...