In this paper, we develop topological modules over the ring of bicomplex numbers. We
discuss bicomplex convexity, hyperbolic-valued seminorms and hyperbolic-valued …

In this paper we study the bicomplex version of weighted Hardy spaces. Further, we
describe reproducing kernels for the bicomplex weighted Hardy spaces. In particular, we …

Bicomplex convolutional neural networks (BCCNN) are a natural extension of the
quaternion convolutional neural networks for the bicomplex case. As it happens with 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 …

In this paper we study some basic properties of bicomplex linear operators on bicomplex
Hilbert spaces. Further, we introduce the notion of bicomplex quotient modules and …

We study and introduce new gradient operators in the complex and bicomplex settings,
inspired from the well-known Least Mean Square (LMS) algorithm invented in 1960 by …

Interpolation with symmetry and a Herglotz theorem in the bicomplex setting - ScienceDirect
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The main purpose of this paper is to investigate a common fixed point theorem in bicomplex
valued b-metric space satisfying some rational inequalities for two pairs of weakly …

In this paper, we extend notions of complex C− R CR‐calculus to the bicomplex setting and
compare the bicomplex polyanalytic function theory to the classical complex case …