With the increasing importance of the Mittag-Leffler function in the physical applications,
these days many researchers are studying various generalizations and extensions of the …

In this paper we first write a proof of the perceptron convergence algorithm for the complex
multivalued neural networks (CMVNNs). Our primary goal is to formulate and prove the …

In this paper we introduce and study a functional calculus for bicomplex linear bounded
operators. The study is based on the decomposition of bicomplex numbers and of linear …

The construction of the ternary Cantor set is generalized into the context of hyperbolic
numbers. The partial order structure of hyperbolic numbers is revealed and the notion of …

In this paper, we introduce the some algebraic properties in idempotent form of bicomplex
space and multicomplex space, which is the generalization of the field of complex numbers …

In this paper, using forms of conjugations, we give some algebraic properties of bicomplex
numbers. We research differential operators, elementary functions and the analogous …

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 …

2. Preliminaries 2.1. The Bicomplex Numbers [7]. A bicomplex number is defined as z= x1+
i1x2+ i2x3+ i1i2x4=(x1+ i1x2)+ i2 (x3+ i1x4)= z1+ i2z2 where xi, i= 1, 2, 3, 4 are all real …

We investigate the Möbius groups theory in the framework of bicomplex numbers, which are
pairs of complex numbers making up a commutative ring with zero-divisors. In this paper, we …

In this paper, we explore for the bicomplex version of the wellknown Hadamard's three
circles theorem in complex analysis and also deduceits convex form. Also, the relation …