In this paper, bicomplex Fibonacci quaternions are defined. Also, some algebraic properties
of bicomplex Fibonacci quaternions which are connected with bicomplex numbers and …

In this chapter, we consider bicomplex numbers with coefficients from Fibonacci sequence
and give some identities. Moreover, we demonstrate the accuracy of such identities by …

In the theoretical explorations and numerical computations in reduced biquaternionic
electromagnetics, the reduced biquaternion total least squares (RBTLS) problem is an …

Maxwell's equations for the time-dependent electromagnetic field in a homogeneous chiral
medium are reduced to a single quaternionic equation. Its fundamental solution satisfying …

The paper aims to adopt the complex quaternion and octonion to formulate the field
equations for electromagnetic and gravitational fields. Applying the octonionic …

In this study, after introducing the hyperbolic octonionic (counteroctonion) algebra, which is
also expressed in the sub-algebra of sedenions, and differential operator, Proca-Maxwell …

The Maxwell's equations of commutative quaternions play an important role in commutative
quaternion electromagnetism. This paper studies the problem of solutions to Maxwell's …

The paper aims to consider the electromagnetic adjoint-field in the complex octonion space
as the dark matter field, describing some properties of the dark matter, especially the origin …

Knowledge graph embedding models represent entities as vectors in continuous spaces
and their relations by geometric transformations, mainly translation, and rotation. However …

The concept of bicomplex numbers is introduced in Electromagnetics, with direct
applications to the solution of Maxwell's equations. In this paper, we discuss the technique to …