The purpose of this paper is to develop a theory, inspired from complex analysis, of dual
functions. In detail, we introduce the notion of holomorphic dual functions and we establish a …

In this study, we aimed to measure the melatonin levels in COVID-19 positive patients and to
investigate the relationship of these levels with depression, death anxiety and insomnia …

The purpose of this paper is to contribute to development a general theory of dual-complex
numbers. We start by define the notion of dual-complex and their algebraic properties. In …

Dual Fibonacci quaternions are first defined by [5]. In fact, these quaternions must be called
as dual coefficient Fibonacci quaternions. In this paper, dual Fibonacci quaternions are …

It is known that the hybrid numbers are generalizations of complex, hyperbolic and dual
numbers. Recently, they have attracted the attention of many scientists. At this paper, we …

The Jacobsthal quaternions defined by Szynal-Liana and Wloch [35]. In this paper, we
defined some properties of Jacobsthal quaternions. Also, we investigated the relations …

In this paper, we obtain Euler's and De Moivre's formulas for the 4× 4 matrix representation
of Pauli quaternions. Moreover, we provide De Moivre's formula for the light-like Pauli …

The purpose of this paper is to develop a general theory of multi# dual numbers. We start by
defining the notion of multidual numbers and their algebraic properties. In addition, we …

In this paper, we define a one-parameter generalization of Leonardo dual quaternions,
namely k- generalized Leonardo-like dual quaternions. We introduce the properties of k …

After a brief review of the different types of quaternions, we develop a new perspective for
dual quaternions with dividing two parts. Due to this new perspective, we will define the …