In this paper, we present the development of fractional bicomplex calculus in the Riemann–
Liouville sense, based on the modification of the Cauchy–Riemann operator using the one …

In this paper we will investigate fractional analytic properties of multi-complex valued
polynomials defined on BC n (the space of multicomplex numbers refers to the space …

We present some meeting points between two function theories, the Fueter theory of regular
functions and the recent theory of quaternionic slice regular functions, which includes …

This article focuses on the dynamics of the different tridimensional principal slices of the
multicomplex Multibrot sets. First, we define an equivalence relation between those slices …

This paper focuses on the dynamics of the eight tridimensional principal slices of the
tricomplex Mandelbrot set: the Tetrabrot, the Arrowheadbrot, the Mousebrot, the Turtlebrot …

Ternary Clifford algebras are an essential ingredient in a cubic factorization of the Laplacian
and using a ternary Clifford analysis build on such spaces one obtains a Dirac-type operator …

In this paper the author is presenting a theory of functions on complex ternary algebras. The
theory developed here is a particular case of the more general case discussed in a volume …

Dans ce mémoire, on généralise plusieurs résultats connus sur les fractales complexes,
bicomplexes et tricomplexes. Pour ce faire, on étudie d'abord les nombres multicomplexes …

We show that there is a bijection between real-linear automorphisms of the multicomplex
numbers of order $ n $ and signed permutations of length $2^{n-1} $. This allows us to …

Multicomplex analysis describes the theory of holomorphic functions on spaces generated
by n commuting complex units. In this context we extend some notions of norms and moduli …